Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574q |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
402799592828562468 = 22 · 3 · 76 · 1111 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59675508,-177461094180] |
[a1,a2,a3,a4,a6] |
Generators |
[-239641031709588084295:118018209926961206222:53729871173338625] |
Generators of the group modulo torsion |
j |
112763292123580561/1932612 |
j-invariant |
L |
5.0040776787351 |
L(r)(E,1)/r! |
Ω |
0.054318844522018 |
Real period |
R |
23.031038872275 |
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 |
106722hn3 726e3 3234s3 |
Quadratic twists by: -3 -7 -11 |