Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114268h |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-13625215201047296 = -1 · 28 · 76 · 115 · 532 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3378517,2389097479] |
[a1,a2,a3,a4,a6] |
Generators |
[954:5929:1] |
Generators of the group modulo torsion |
j |
-141603491201155072/452392259 |
j-invariant |
L |
6.9910364981321 |
L(r)(E,1)/r! |
Ω |
0.34669354569666 |
Real period |
R |
1.0082443968213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2332a1 |
Quadratic twists by: -7 |