Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210bh |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-123507906011100 = -1 · 22 · 39 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6052,501531] |
[a1,a2,a3,a4,a6] |
Generators |
[65:1047:1] |
Generators of the group modulo torsion |
j |
6967871/35100 |
j-invariant |
L |
6.659794203467 |
L(r)(E,1)/r! |
Ω |
0.42283841888476 |
Real period |
R |
1.968776341632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680dq1 5070e1 76050bl1 1170e1 |
Quadratic twists by: -4 -3 5 13 |