Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840f |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
13341167474049360 = 24 · 311 · 5 · 113 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4854018,4116231497] |
[a1,a2,a3,a4,a6] |
Generators |
[-2236:61567:1] |
Generators of the group modulo torsion |
j |
1084377127630526519296/1143790078365 |
j-invariant |
L |
7.1033757492489 |
L(r)(E,1)/r! |
Ω |
0.33460562366122 |
Real period |
R |
5.3072746586162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999449534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280o1 |
Quadratic twists by: -3 |