Atkin-Lehner |
3+ 5+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
22515b |
Isogeny class |
Conductor |
22515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6416775 = 32 · 52 · 192 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-152101,22768748] |
[a1,a2,a3,a4,a6] |
Generators |
[2536:-127581:1] [134:2127:1] |
Generators of the group modulo torsion |
j |
389152745416153860049/6416775 |
j-invariant |
L |
3.9808185176795 |
L(r)(E,1)/r! |
Ω |
1.2210681422351 |
Real period |
R |
1.6300558420896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67545m2 112575k2 |
Quadratic twists by: -3 5 |