Atkin-Lehner |
2+ 3+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130i |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
5961559500 = 22 · 34 · 53 · 133 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -2 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-472,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:34:1] [-18:74:1] |
Generators of the group modulo torsion |
j |
11667736047241/5961559500 |
j-invariant |
L |
5.148480504942 |
L(r)(E,1)/r! |
Ω |
1.18757198789 |
Real period |
R |
0.12042499218393 |
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 |
78390bt1 |
Quadratic twists by: -3 |