Atkin-Lehner |
2+ 3- 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518h |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1284422195073588732 = 22 · 312 · 73 · 192 · 474 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 -4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-278334,-14804856] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:5910:1] |
Generators of the group modulo torsion |
j |
3271115240450170849/1761896015190108 |
j-invariant |
L |
2.9769912327413 |
L(r)(E,1)/r! |
Ω |
0.22132167400432 |
Real period |
R |
0.84068563145763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506v2 |
Quadratic twists by: -3 |