Atkin-Lehner |
2+ 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514a |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2437120 |
Modular degree for the optimal curve |
Δ |
253101418126140416 = 210 · 79 · 194 · 47 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1321115,-584074074] |
[a1,a2,a3,a4,a6] |
Generators |
[78031185:3476726072:29791] |
Generators of the group modulo torsion |
j |
6319209448983439/6272089088 |
j-invariant |
L |
3.7267643004071 |
L(r)(E,1)/r! |
Ω |
0.14082842355709 |
Real period |
R |
13.23157715171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87514g1 |
Quadratic twists by: -7 |