Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504c |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-222465454128 = -1 · 24 · 316 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2079,-42282] |
[a1,a2,a3,a4,a6] |
Generators |
[33368771833530:-1036253218189904:34486806375] |
Generators of the group modulo torsion |
j |
-62140690757632/13904090883 |
j-invariant |
L |
4.0309816290275 |
L(r)(E,1)/r! |
Ω |
0.34933565994322 |
Real period |
R |
23.077985394808 |
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 |
7752k1 62016cv1 46512e1 |
Quadratic twists by: -4 8 -3 |