Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3658d |
Isogeny class |
Conductor |
3658 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-93324604672050688 = -1 · 29 · 316 · 593 |
Discriminant |
Eigenvalues |
2- -2 0 -1 -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,49377,14082265] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:799:1] |
Generators of the group modulo torsion |
j |
13313653880668607375/93324604672050688 |
j-invariant |
L |
3.6219068044219 |
L(r)(E,1)/r! |
Ω |
0.24608551709136 |
Real period |
R |
2.453013656412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29264f2 117056i2 32922c2 91450e2 |
Quadratic twists by: -4 8 -3 5 |