Atkin-Lehner |
2+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7070a |
Isogeny class |
Conductor |
7070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3104012800000 = 212 · 55 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5530,-132300] |
[a1,a2,a3,a4,a6] |
j |
18704378438313849/3104012800000 |
j-invariant |
L |
1.1197262502269 |
L(r)(E,1)/r! |
Ω |
0.55986312511346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56560g1 63630bx1 35350n1 49490f1 |
Quadratic twists by: -4 -3 5 -7 |