Atkin-Lehner |
2- 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70448s |
Isogeny class |
Conductor |
70448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
1767399424 = 213 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
2- -1 1 7- -2 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-600,5488] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-56:1] [-6:94:1] |
Generators of the group modulo torsion |
j |
5841725401/431494 |
j-invariant |
L |
9.5843830042367 |
L(r)(E,1)/r! |
Ω |
1.4582425771916 |
Real period |
R |
0.54771311452494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8806b1 |
Quadratic twists by: -4 |