Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8526h |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20121997335552 = 210 · 34 · 73 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37126,-2747944] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:101:1] |
Generators of the group modulo torsion |
j |
16498606226359375/58664715264 |
j-invariant |
L |
4.1195575531062 |
L(r)(E,1)/r! |
Ω |
0.34401254440737 |
Real period |
R |
1.4968776648112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208bf2 25578br2 8526b2 |
Quadratic twists by: -4 -3 -7 |