Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ci |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-6612354000000 = -1 · 27 · 34 · 56 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11051,462998] |
[a1,a2,a3,a4,a6] |
j |
-3977954113/176256 |
j-invariant |
L |
2.9734006241159 |
L(r)(E,1)/r! |
Ω |
0.74335050037383 |
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 |
4998bb1 124950w1 |
Quadratic twists by: 5 -7 |