Atkin-Lehner |
2- 3- 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47214j |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-127419779960622036 = -1 · 22 · 324 · 432 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-532877,-150571447] |
[a1,a2,a3,a4,a6] |
Generators |
[51362146:3497752867:10648] |
Generators of the group modulo torsion |
j |
-22954949766718606729/174787078135284 |
j-invariant |
L |
9.0900981670533 |
L(r)(E,1)/r! |
Ω |
0.088311124725496 |
Real period |
R |
12.866581355527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738e1 |
Quadratic twists by: -3 |