Atkin-Lehner |
2+ 3+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25662f |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-224183232 = -1 · 26 · 32 · 72 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,110,-524] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-58:1] [7:22:1] |
Generators of the group modulo torsion |
j |
145116956375/224183232 |
j-invariant |
L |
5.2603254467639 |
L(r)(E,1)/r! |
Ω |
0.93480659140324 |
Real period |
R |
1.4067951315116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76986bl1 |
Quadratic twists by: -3 |