Atkin-Lehner |
2- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101680r |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-16268800000 = -1 · 212 · 55 · 31 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,395,5475] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] |
Generators of the group modulo torsion |
j |
1659797504/3971875 |
j-invariant |
L |
5.8966895987486 |
L(r)(E,1)/r! |
Ω |
0.86298825674896 |
Real period |
R |
1.3665746978873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6355f1 |
Quadratic twists by: -4 |