Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bq |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7004160 |
Modular degree for the optimal curve |
Δ |
-2.414081171578E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 0 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5696205,5338564594] |
[a1,a2,a3,a4,a6] |
j |
6845309169258215375/8084708999036928 |
j-invariant |
L |
2.8799046897337 |
L(r)(E,1)/r! |
Ω |
0.079997336069864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14706g1 39216bc1 |
Quadratic twists by: -4 -3 |