Atkin-Lehner |
2+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450b |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-786250000000 = -1 · 27 · 510 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ 5 2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2250,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[8015:92105:343] |
Generators of the group modulo torsion |
j |
80565593759/50320000 |
j-invariant |
L |
7.1379771210092 |
L(r)(E,1)/r! |
Ω |
0.55504803877883 |
Real period |
R |
6.4300534569165 |
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 |
6290i1 |
Quadratic twists by: 5 |