Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700z |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-269132500000000 = -1 · 28 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27708,1933588] |
[a1,a2,a3,a4,a6] |
j |
-19205200/2197 |
j-invariant |
L |
1.6072286765032 |
L(r)(E,1)/r! |
Ω |
0.53574289294444 |
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 |
63700bn1 63700d1 |
Quadratic twists by: 5 -7 |