Atkin-Lehner |
2+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630g |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-401152812500 = -1 · 22 · 57 · 112 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10123,-394022] |
[a1,a2,a3,a4,a6] |
Generators |
[209:-2680:1] |
Generators of the group modulo torsion |
j |
-947991360934321/3315312500 |
j-invariant |
L |
4.1630897680903 |
L(r)(E,1)/r! |
Ω |
0.23793397573596 |
Real period |
R |
0.62488671111866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998567927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124630ba1 |
Quadratic twists by: -11 |