Atkin-Lehner |
2+ 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568l |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
2647946325248 = 28 · 7 · 173 · 673 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 1 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-414644,102768748] |
[a1,a2,a3,a4,a6] |
j |
30797105662599257088/10343540333 |
j-invariant |
L |
2.6127766162684 |
L(r)(E,1)/r! |
Ω |
0.65319463638751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63784k1 |
Quadratic twists by: -4 |