Atkin-Lehner |
2+ 3- 7+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578j |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
93989886205824 = 27 · 310 · 72 · 193 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-431334,-108926924] |
[a1,a2,a3,a4,a6] |
Generators |
[-379:221:1] |
Generators of the group modulo torsion |
j |
12174127021137418849/128929885056 |
j-invariant |
L |
3.9357500568103 |
L(r)(E,1)/r! |
Ω |
0.18629292439209 |
Real period |
R |
1.7605562471022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29526o1 |
Quadratic twists by: -3 |