Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15225i |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-755665041796875 = -1 · 34 · 58 · 77 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 4 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-71083,-7389807] |
[a1,a2,a3,a4,a6] |
j |
-101687374151680/1934502507 |
j-invariant |
L |
0.87617126381538 |
L(r)(E,1)/r! |
Ω |
0.14602854396923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675be1 15225u1 106575cr1 |
Quadratic twists by: -3 5 -7 |