Atkin-Lehner |
2- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59024ba |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5638863978496 = -1 · 218 · 74 · 172 · 31 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,896,-113484] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-1088:1] |
Generators of the group modulo torsion |
j |
19400056703/1376675776 |
j-invariant |
L |
3.1759928870803 |
L(r)(E,1)/r! |
Ω |
0.36228871153464 |
Real period |
R |
1.0958086693698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378o1 |
Quadratic twists by: -4 |