Atkin-Lehner |
2- 7+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286i |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
35005663279913984 = 210 · 78 · 174 · 71 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 0 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173494,-26274363] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:1283:1] |
Generators of the group modulo torsion |
j |
100182167887473/6072310784 |
j-invariant |
L |
5.9501428593457 |
L(r)(E,1)/r! |
Ω |
0.2348131494134 |
Real period |
R |
1.2669952320005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118286bb1 |
Quadratic twists by: -7 |