Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350m |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1738280812500000 = 25 · 32 · 59 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-177600151,-911003747302] |
[a1,a2,a3,a4,a6] |
Generators |
[24947317013364:3551580752957182:893056347] |
Generators of the group modulo torsion |
j |
39649131132453631490633569/111249972000 |
j-invariant |
L |
6.5436373693976 |
L(r)(E,1)/r! |
Ω |
0.041356018630381 |
Real period |
R |
19.778370837287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999919276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870r3 |
Quadratic twists by: 5 |