Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7502c |
Isogeny class |
Conductor |
7502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-258989386503770362 = -1 · 2 · 1115 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 1 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-242366,52024674] |
[a1,a2,a3,a4,a6] |
Generators |
[406:4334:1] |
Generators of the group modulo torsion |
j |
-888751018248625/146192756842 |
j-invariant |
L |
2.2393366210197 |
L(r)(E,1)/r! |
Ω |
0.29947744382991 |
Real period |
R |
3.7387400406215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60016i3 67518bw3 682a3 |
Quadratic twists by: -4 -3 -11 |