Atkin-Lehner |
2+ 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
90640f |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-48256736000 = -1 · 28 · 53 · 114 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 11- 0 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1820,31100] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:140:1] [-10:220:1] |
Generators of the group modulo torsion |
j |
-2605772594896/188502875 |
j-invariant |
L |
13.039782491345 |
L(r)(E,1)/r! |
Ω |
1.1104481718927 |
Real period |
R |
0.48928377229564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45320f1 |
Quadratic twists by: -4 |