Atkin-Lehner |
2+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970d |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
259700 = 22 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -5 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89,312] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-6:1] [-1:20:1] |
Generators of the group modulo torsion |
j |
1565539801/5300 |
j-invariant |
L |
3.8113010427704 |
L(r)(E,1)/r! |
Ω |
3.1202796434307 |
Real period |
R |
0.30536534207718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850ct1 25970k1 |
Quadratic twists by: 5 -7 |