Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410by |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-2994782203385280 = -1 · 26 · 34 · 5 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13615,-2708683] |
[a1,a2,a3,a4,a6] |
Generators |
[185:978:1] |
Generators of the group modulo torsion |
j |
-118370771/1270080 |
j-invariant |
L |
6.9160624713285 |
L(r)(E,1)/r! |
Ω |
0.19153956525466 |
Real period |
R |
3.0089790509398 |
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 |
76230n1 127050df1 25410r1 |
Quadratic twists by: -3 5 -11 |