Atkin-Lehner |
2+ 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550m |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
11288000 = 26 · 53 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -3 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-156,-742] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [-7:7:1] |
Generators of the group modulo torsion |
j |
3327970157/90304 |
j-invariant |
L |
4.1287129512534 |
L(r)(E,1)/r! |
Ω |
1.3541661407535 |
Real period |
R |
0.76222422547024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550bk1 |
Quadratic twists by: 5 |