Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27650x |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49440 |
Modular degree for the optimal curve |
Δ |
-15290450 = -1 · 2 · 52 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5175,-141983] |
[a1,a2,a3,a4,a6] |
Generators |
[14103450:44389277:157464] |
Generators of the group modulo torsion |
j |
-612965578258665/611618 |
j-invariant |
L |
13.373349544757 |
L(r)(E,1)/r! |
Ω |
0.28144821657724 |
Real period |
R |
11.879049818998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27650l1 |
Quadratic twists by: 5 |