Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530bi |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1902495600 = -1 · 24 · 35 · 52 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,34,2100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:46:1] |
Generators of the group modulo torsion |
j |
4338722591/1902495600 |
j-invariant |
L |
8.4458661834842 |
L(r)(E,1)/r! |
Ω |
1.1506654551144 |
Real period |
R |
0.36699920667405 |
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 |
76590y1 127650b1 |
Quadratic twists by: -3 5 |