Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675r |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
25800 |
Modular degree for the optimal curve |
Δ |
-5737441875 = -1 · 3 · 54 · 115 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 11- 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5258,-145057] |
[a1,a2,a3,a4,a6] |
j |
-25726934118400/9179907 |
j-invariant |
L |
4.2047433651439 |
L(r)(E,1)/r! |
Ω |
0.28031622434293 |
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 |
47025bp1 15675w2 |
Quadratic twists by: -3 5 |