Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300k |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
-53958000 = -1 · 24 · 3 · 53 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178,-923] |
[a1,a2,a3,a4,a6] |
Generators |
[27:115:1] |
Generators of the group modulo torsion |
j |
-313611008/26979 |
j-invariant |
L |
3.0373334150132 |
L(r)(E,1)/r! |
Ω |
0.65002898145533 |
Real period |
R |
1.1681530711443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117300bl1 |
Quadratic twists by: 5 |