Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830s |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-301406653800 = -1 · 23 · 37 · 52 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,26428] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:-151:1] |
Generators of the group modulo torsion |
j |
-24137569/413452200 |
j-invariant |
L |
4.6205180042333 |
L(r)(E,1)/r! |
Ω |
0.77564745683778 |
Real period |
R |
0.1489245521113 |
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 |
8610l1 129150ct1 |
Quadratic twists by: -3 5 |