Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112d |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-1766853817344 = -1 · 210 · 33 · 7 · 113 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2984,11452] |
[a1,a2,a3,a4,a6] |
Generators |
[2:132:1] |
Generators of the group modulo torsion |
j |
2868630837404/1725443181 |
j-invariant |
L |
4.3542573149103 |
L(r)(E,1)/r! |
Ω |
0.51333641878932 |
Real period |
R |
1.4137114101443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224r1 105336bs1 |
Quadratic twists by: -4 -3 |