Atkin-Lehner |
2+ 3+ 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578a |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1259520 |
Modular degree for the optimal curve |
Δ |
955603749961728 = 220 · 33 · 7 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2108547,1179008597] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:35230:1] |
Generators of the group modulo torsion |
j |
38398116486528960568875/35392731480064 |
j-invariant |
L |
5.3596620605408 |
L(r)(E,1)/r! |
Ω |
0.41484583799492 |
Real period |
R |
6.4598238274278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578w1 |
Quadratic twists by: -3 |