Atkin-Lehner |
2+ 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974o |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-1497078077380704 = -1 · 25 · 32 · 77 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -4 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,28297,-318219] |
[a1,a2,a3,a4,a6] |
Generators |
[94:967:8] [41:-976:1] |
Generators of the group modulo torsion |
j |
21297698535959/12724953696 |
j-invariant |
L |
5.9293571697271 |
L(r)(E,1)/r! |
Ω |
0.27855662328937 |
Real period |
R |
0.53215007955352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282g1 |
Quadratic twists by: -7 |