Atkin-Lehner |
2+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150bc |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-831637251200000000 = -1 · 213 · 58 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 5 -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-940826,-354054452] |
[a1,a2,a3,a4,a6] |
j |
-2004023020585/18096128 |
j-invariant |
L |
0.91926191076847 |
L(r)(E,1)/r! |
Ω |
0.076605212561674 |
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 |
115150bx1 2350f1 |
Quadratic twists by: 5 -7 |