Atkin-Lehner |
2- 3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578bo |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
396800 |
Modular degree for the optimal curve |
Δ |
16960580969472 = 210 · 311 · 7 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9977,330905] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-1616:1] |
Generators of the group modulo torsion |
j |
150645197408329/23265543168 |
j-invariant |
L |
7.3162523259588 |
L(r)(E,1)/r! |
Ω |
0.66427966430361 |
Real period |
R |
0.5506906749603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526l1 |
Quadratic twists by: -3 |