Atkin-Lehner |
2+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27650d |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-74093359375000000 = -1 · 26 · 514 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,57125,-11971875] |
[a1,a2,a3,a4,a6] |
j |
1319381670453839/4741975000000 |
j-invariant |
L |
1.404139699154 |
L(r)(E,1)/r! |
Ω |
0.17551746239416 |
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 |
5530l1 |
Quadratic twists by: 5 |