Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480x |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
14864601600000 = 212 · 39 · 55 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32832,-2282256] |
[a1,a2,a3,a4,a6] |
Generators |
[-846:675:8] |
Generators of the group modulo torsion |
j |
48547233792/184375 |
j-invariant |
L |
6.4710967374214 |
L(r)(E,1)/r! |
Ω |
0.35475164807007 |
Real period |
R |
1.8241202747386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2655d1 42480v1 |
Quadratic twists by: -4 -3 |