Atkin-Lehner |
2- 11- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526bc |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-209087055603712 = -1 · 211 · 117 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 -3 11- 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6478000,6347757331] |
[a1,a2,a3,a4,a6] |
Generators |
[1477:-255:1] |
Generators of the group modulo torsion |
j |
-16970333195884811625/118024192 |
j-invariant |
L |
7.4757759538581 |
L(r)(E,1)/r! |
Ω |
0.38694619195791 |
Real period |
R |
0.4390894698316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866b1 |
Quadratic twists by: -11 |