Atkin-Lehner |
5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5915h |
Isogeny class |
Conductor |
5915 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
39000 |
Modular degree for the optimal curve |
Δ |
-17844109521875 = -1 · 55 · 7 · 138 |
Discriminant |
Eigenvalues |
2 3 5- 7+ -3 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2197,207067] |
[a1,a2,a3,a4,a6] |
j |
-1437696/21875 |
j-invariant |
L |
8.7593145373321 |
L(r)(E,1)/r! |
Ω |
0.58395430248881 |
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 |
94640dg1 53235m1 29575n1 41405i1 |
Quadratic twists by: -4 -3 5 -7 |