Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
32648c |
Isogeny class |
Conductor |
32648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
-294795246592 = -1 · 210 · 7 · 114 · 532 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17099,-861002] |
[a1,a2,a3,a4,a6] |
Generators |
[195929607:39126804592:4913] |
Generators of the group modulo torsion |
j |
-539928052700292/287885983 |
j-invariant |
L |
6.35508080536 |
L(r)(E,1)/r! |
Ω |
0.20874351482683 |
Real period |
R |
15.222223336214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65296e1 |
Quadratic twists by: -4 |