Atkin-Lehner |
7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70357c |
Isogeny class |
Conductor |
70357 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2951169909267167 = 74 · 192 · 237 |
Discriminant |
Eigenvalues |
-1 0 -2 7- -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23426071,43647117120] |
[a1,a2,a3,a4,a6] |
Generators |
[-1397:272075:1] |
Generators of the group modulo torsion |
j |
9604063974002260113/19935503 |
j-invariant |
L |
1.800886798584 |
L(r)(E,1)/r! |
Ω |
0.29380453148683 |
Real period |
R |
3.0647702897035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002342 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3059a3 |
Quadratic twists by: -23 |