Atkin-Lehner |
2- 3- 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30702u |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
64343357043685776 = 24 · 312 · 72 · 174 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127057,12436505] |
[a1,a2,a3,a4,a6] |
Generators |
[452:-7111:1] |
Generators of the group modulo torsion |
j |
226840040499578001553/64343357043685776 |
j-invariant |
L |
10.844883034979 |
L(r)(E,1)/r! |
Ω |
0.32491915384101 |
Real period |
R |
0.69535778533784 |
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 |
92106o2 |
Quadratic twists by: -3 |