Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996f |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
669839325050448 = 24 · 32 · 72 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-155153,-23438142] |
[a1,a2,a3,a4,a6] |
Generators |
[802:19166:1] |
Generators of the group modulo torsion |
j |
10061824000/16317 |
j-invariant |
L |
4.1853138686156 |
L(r)(E,1)/r! |
Ω |
0.24057559997298 |
Real period |
R |
1.4497569797615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108c1 |
Quadratic twists by: 37 |