Atkin-Lehner |
2- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70180m |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2717369600 = 28 · 52 · 114 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645,5575] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:110:1] [5:50:1] |
Generators of the group modulo torsion |
j |
7929856/725 |
j-invariant |
L |
7.277271691263 |
L(r)(E,1)/r! |
Ω |
1.3992535442478 |
Real period |
R |
0.28893467763627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70180q1 |
Quadratic twists by: -11 |