Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254cj |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
4139520 |
Modular degree for the optimal curve |
Δ |
-359811456783550464 = -1 · 211 · 3 · 78 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7511064,7922620992] |
[a1,a2,a3,a4,a6] |
Generators |
[1964:26360:1] |
Generators of the group modulo torsion |
j |
-8129124653877364417/62415243264 |
j-invariant |
L |
16.961458347165 |
L(r)(E,1)/r! |
Ω |
0.2711972323575 |
Real period |
R |
0.47380976339624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254bs1 |
Quadratic twists by: -7 |