Atkin-Lehner |
2- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320u |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
57157763392000000 = 212 · 56 · 176 · 37 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-419765,104184637] |
[a1,a2,a3,a4,a6] |
Generators |
[324:1445:1] |
Generators of the group modulo torsion |
j |
1997024861879566336/13954532078125 |
j-invariant |
L |
5.9337657683733 |
L(r)(E,1)/r! |
Ω |
0.35437289863685 |
Real period |
R |
0.46512255179175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3145b1 |
Quadratic twists by: -4 |