Atkin-Lehner |
2+ 11- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62744d |
Isogeny class |
Conductor |
62744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
400384 |
Modular degree for the optimal curve |
Δ |
156505991324672 = 210 · 118 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -4 -4 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39280,-2948496] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:176:1] |
Generators of the group modulo torsion |
j |
6545596789817284/152837882153 |
j-invariant |
L |
1.9510428615978 |
L(r)(E,1)/r! |
Ω |
0.33960447247737 |
Real period |
R |
1.4362611652887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125488c1 |
Quadratic twists by: -4 |