Atkin-Lehner |
2+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
93800f |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-94319276800 = -1 · 28 · 52 · 72 · 673 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 0 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,252,14612] |
[a1,a2,a3,a4,a6] |
j |
275436080/14737387 |
j-invariant |
L |
3.251376174246 |
L(r)(E,1)/r! |
Ω |
0.81284408831044 |
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 |
93800bd1 |
Quadratic twists by: 5 |