Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25740a |
Isogeny class |
Conductor |
25740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
38610000 = 24 · 33 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168,-783] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:7:1] [-6:3:1] |
Generators of the group modulo torsion |
j |
1213857792/89375 |
j-invariant |
L |
6.9470965126023 |
L(r)(E,1)/r! |
Ω |
1.3322541747999 |
Real period |
R |
1.7381809577606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960cf1 25740b1 128700b1 |
Quadratic twists by: -4 -3 5 |