Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390q |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
97152 |
Modular degree for the optimal curve |
Δ |
88402758635520 = 212 · 311 · 5 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-127911,17548893] |
[a1,a2,a3,a4,a6] |
j |
231444895577963317489/88402758635520 |
j-invariant |
L |
3.5625397311159 |
L(r)(E,1)/r! |
Ω |
0.59375662185265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120cl1 37170n1 61950ba1 86730ct1 |
Quadratic twists by: -4 -3 5 -7 |