Atkin-Lehner |
2- 3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710z |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
135585937500000000 = 28 · 3 · 516 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4747210,3979107287] |
[a1,a2,a3,a4,a6] |
Generators |
[1567:18991:1] |
Generators of the group modulo torsion |
j |
11831479328770472395009441/135585937500000000 |
j-invariant |
L |
7.5131324401596 |
L(r)(E,1)/r! |
Ω |
0.29764010705176 |
Real period |
R |
3.1552923573455 |
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 |
104130n4 |
Quadratic twists by: -3 |