Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210bg |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-136250449920 = -1 · 213 · 39 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-383,18087] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-234:1] |
Generators of the group modulo torsion |
j |
-50308609/1105920 |
j-invariant |
L |
6.4081142705761 |
L(r)(E,1)/r! |
Ω |
0.87062029493565 |
Real period |
R |
0.14154616824199 |
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 |
121680dn1 5070d1 76050bi1 15210r1 |
Quadratic twists by: -4 -3 5 13 |