Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050h |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-41297200 = -1 · 24 · 52 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71,378] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
-1551443665/1651888 |
j-invariant |
L |
2.2688312590009 |
L(r)(E,1)/r! |
Ω |
1.8507589721367 |
Real period |
R |
0.15323654330185 |
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 |
120400z1 15050z1 105350r1 |
Quadratic twists by: -4 5 -7 |