Atkin-Lehner |
5+ 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
102025a |
Isogeny class |
Conductor |
102025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
24549765625 = 57 · 72 · 112 · 53 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6855,220022] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:131:1] [24:250:1] |
Generators of the group modulo torsion |
j |
2279642092281/1571185 |
j-invariant |
L |
7.0056050918933 |
L(r)(E,1)/r! |
Ω |
1.1847780454277 |
Real period |
R |
2.9565052787917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20405d1 |
Quadratic twists by: 5 |