Atkin-Lehner |
5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25025f |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
212544 |
Modular degree for the optimal curve |
Δ |
-69736302961325 = -1 · 52 · 7 · 119 · 132 |
Discriminant |
Eigenvalues |
1 -3 5+ 7- 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120877,16210966] |
[a1,a2,a3,a4,a6] |
j |
-7812980548366492305/2789452118453 |
j-invariant |
L |
1.2099167375805 |
L(r)(E,1)/r! |
Ω |
0.60495836879023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25025p1 |
Quadratic twists by: 5 |