Atkin-Lehner |
2+ 3+ 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810g |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4459126673553E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15652050,-23117729500] |
[a1,a2,a3,a4,a6] |
Generators |
[-2599:2374:1] |
Generators of the group modulo torsion |
j |
21544980977228515989363/734599739549522000 |
j-invariant |
L |
4.0768954696242 |
L(r)(E,1)/r! |
Ω |
0.076061525989651 |
Real period |
R |
6.699996168132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cw2 |
Quadratic twists by: -3 |