Atkin-Lehner |
2- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42700a |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
591217410700000000 = 28 · 58 · 7 · 615 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -4 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-272508,40457512] |
[a1,a2,a3,a4,a6] |
j |
559503855489616/147804352675 |
j-invariant |
L |
0.54237426973901 |
L(r)(E,1)/r! |
Ω |
0.27118713489431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540g1 |
Quadratic twists by: 5 |