Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650b |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34744320 |
Modular degree for the optimal curve |
Δ |
-4.7203117155397E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22367437750,-1288008365187500] |
[a1,a2,a3,a4,a6] |
Generators |
[9954777666925646343390691227904779151650346640768959505:8491443923777367183809698069094721205753070767241766046160:13096330337724491226495899648620742698045445462081] |
Generators of the group modulo torsion |
j |
-79204963502810190656794906124641/30209994979453807519334400 |
j-invariant |
L |
2.0909811806688 |
L(r)(E,1)/r! |
Ω |
0.0061724213285169 |
Real period |
R |
84.690475154717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200de1 31950cl1 2130n1 |
Quadratic twists by: -4 -3 5 |