Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810s |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
Δ |
3708625745402265600 = 217 · 37 · 52 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-207611618,1151450221281] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:1097567:1] |
Generators of the group modulo torsion |
j |
1357535330453304793088446681/5087278114406400 |
j-invariant |
L |
7.573024207098 |
L(r)(E,1)/r! |
Ω |
0.16654315172312 |
Real period |
R |
1.3374071751771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270e2 94050p2 |
Quadratic twists by: -3 5 |