Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520a |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
205258112720 = 24 · 5 · 376 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2738,-50653] |
[a1,a2,a3,a4,a6] |
Generators |
[-491442649703:-346665762828:21276960011] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
6.4347807657178 |
L(r)(E,1)/r! |
Ω |
0.66381214453869 |
Real period |
R |
19.387354738199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54760c1 80a2 |
Quadratic twists by: -4 37 |