Atkin-Lehner |
2- 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
91760h |
Isogeny class |
Conductor |
91760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-160792883200 = -1 · 212 · 52 · 31 · 373 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -2 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2040,39700] |
[a1,a2,a3,a4,a6] |
Generators |
[60:370:1] [30:80:1] |
Generators of the group modulo torsion |
j |
-229333309561/39256075 |
j-invariant |
L |
7.965736220172 |
L(r)(E,1)/r! |
Ω |
0.98435398799689 |
Real period |
R |
0.33718121717928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5735b1 |
Quadratic twists by: -4 |