Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bn |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72073525880412 = 22 · 32 · 7 · 178 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56844,5195700] |
[a1,a2,a3,a4,a6] |
Generators |
[4152:6322:27] |
Generators of the group modulo torsion |
j |
20313187719286101697/72073525880412 |
j-invariant |
L |
7.8372950305896 |
L(r)(E,1)/r! |
Ω |
0.61753553626177 |
Real period |
R |
6.3456226973045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87822f4 |
Quadratic twists by: -3 |