Atkin-Lehner |
2+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7030d |
Isogeny class |
Conductor |
7030 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24624 |
Modular degree for the optimal curve |
Δ |
-111404646208000 = -1 · 29 · 53 · 196 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8737,-398094] |
[a1,a2,a3,a4,a6] |
j |
73770405696178199/111404646208000 |
j-invariant |
L |
0.62750725084537 |
L(r)(E,1)/r! |
Ω |
0.31375362542269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56240o1 63270z1 35150u1 |
Quadratic twists by: -4 -3 5 |