Atkin-Lehner |
2- 3+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652h |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-5731524816128496 = -1 · 24 · 39 · 79 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75249,-8740251] |
[a1,a2,a3,a4,a6] |
Generators |
[948:27783:1] |
Generators of the group modulo torsion |
j |
-149628607969536/18199476757 |
j-invariant |
L |
3.792381297534 |
L(r)(E,1)/r! |
Ω |
0.14315090816561 |
Real period |
R |
1.4717884257231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652g1 |
Quadratic twists by: -3 |