Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152v |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
970752 |
Modular degree for the optimal curve |
Δ |
9906944557824 = 28 · 316 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -4 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26381300,52163368764] |
[a1,a2,a3,a4,a6] |
Generators |
[6208397:28763424:2197] |
Generators of the group modulo torsion |
j |
7931810705276935648987216/38699002179 |
j-invariant |
L |
4.6151391986407 |
L(r)(E,1)/r! |
Ω |
0.34938295789436 |
Real period |
R |
6.6046999350697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10788f1 129456bd1 |
Quadratic twists by: -4 -3 |