Atkin-Lehner |
5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17575a |
Isogeny class |
Conductor |
17575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1883545703125 = 58 · 194 · 37 |
Discriminant |
Eigenvalues |
0 1 5+ -1 -5 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3783,-61781] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:161:1] [73:237:1] |
Generators of the group modulo torsion |
j |
383290015744/120546925 |
j-invariant |
L |
6.6612672854897 |
L(r)(E,1)/r! |
Ω |
0.62378812407634 |
Real period |
R |
1.3348417171603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3515a1 |
Quadratic twists by: 5 |