Atkin-Lehner |
2- 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056w |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8159232 |
Modular degree for the optimal curve |
Δ |
-1.4097405672219E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48107955,-128433333134] |
[a1,a2,a3,a4,a6] |
j |
-4123698682768504296625/47211926360688 |
j-invariant |
L |
2.0637050200719 |
L(r)(E,1)/r! |
Ω |
0.028662563947416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382a1 38352t1 |
Quadratic twists by: -4 -3 |