Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850bg |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-133825737500000 = -1 · 25 · 58 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40042,-3123884] |
[a1,a2,a3,a4,a6] |
Generators |
[289:2918:1] |
Generators of the group modulo torsion |
j |
-3862503009/72800 |
j-invariant |
L |
2.6447354086038 |
L(r)(E,1)/r! |
Ω |
0.1685600824656 |
Real period |
R |
1.9612705525518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370y1 4550g1 |
Quadratic twists by: 5 -7 |