Atkin-Lehner |
2- 3+ 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bm |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
151118352 = 24 · 33 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-88:1] |
Generators of the group modulo torsion |
j |
10460353203/5596976 |
j-invariant |
L |
6.8772715651016 |
L(r)(E,1)/r! |
Ω |
1.4849361984378 |
Real period |
R |
0.57891978527396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774h1 |
Quadratic twists by: -3 |