Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2415c |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-9629735831296875 = -1 · 313 · 56 · 75 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 1 0 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,29169,-4304725] |
[a1,a2,a3,a4,a6] |
Generators |
[279:5062:1] |
Generators of the group modulo torsion |
j |
2744564518708084736/9629735831296875 |
j-invariant |
L |
2.9525004562261 |
L(r)(E,1)/r! |
Ω |
0.20823305064876 |
Real period |
R |
0.54533951023171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38640bn1 7245l1 12075h1 16905n1 |
Quadratic twists by: -4 -3 5 -7 |