Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15504d |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
4086358272 = 28 · 32 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14764,685580] |
[a1,a2,a3,a4,a6] |
j |
1390353619548112/15962337 |
j-invariant |
L |
2.5204848074978 |
L(r)(E,1)/r! |
Ω |
1.2602424037489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7752c1 62016cb1 46512h1 |
Quadratic twists by: -4 8 -3 |