Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650o |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6768850429687500 = 22 · 38 · 510 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-480942,-128195784] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:369:1] |
Generators of the group modulo torsion |
j |
1080077156587801/594247500 |
j-invariant |
L |
4.2439421198992 |
L(r)(E,1)/r! |
Ω |
0.1812970250671 |
Real period |
R |
2.9260974623882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550ce3 6930bb3 |
Quadratic twists by: -3 5 |