Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114400a |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380800 |
Modular degree for the optimal curve |
Δ |
-32673784000000 = -1 · 29 · 56 · 11 · 135 |
Discriminant |
Eigenvalues |
2+ 2 5+ 5 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7992,-6988] |
[a1,a2,a3,a4,a6] |
Generators |
[657068172:9866544434:15438249] |
Generators of the group modulo torsion |
j |
7055792632/4084223 |
j-invariant |
L |
11.799868138974 |
L(r)(E,1)/r! |
Ω |
0.39137106011094 |
Real period |
R |
15.07503912792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400d1 4576e1 |
Quadratic twists by: -4 5 |