Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bl |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
491228288778240 = 219 · 38 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278508,56562352] |
[a1,a2,a3,a4,a6] |
Generators |
[152:4212:1] |
Generators of the group modulo torsion |
j |
12501706118329/2570490 |
j-invariant |
L |
5.6315299915662 |
L(r)(E,1)/r! |
Ω |
0.50927844355058 |
Real period |
R |
1.3822325642492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ed4 1170m3 12480bi3 |
Quadratic twists by: -4 8 -3 |