Atkin-Lehner |
3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55275c |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-39527725314825 = -1 · 37 · 52 · 115 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 11+ 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1077,-301734] |
[a1,a2,a3,a4,a6] |
Generators |
[2174:100317:1] |
Generators of the group modulo torsion |
j |
5525932941095/1581109012593 |
j-invariant |
L |
3.4018511975227 |
L(r)(E,1)/r! |
Ω |
0.30369422611529 |
Real period |
R |
5.6007834609949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55275s1 |
Quadratic twists by: 5 |