Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950c |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-15805625000 = -1 · 23 · 57 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 11+ 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-751,9898] |
[a1,a2,a3,a4,a6] |
Generators |
[32:121:1] |
Generators of the group modulo torsion |
j |
-2248091/760 |
j-invariant |
L |
3.8670746631829 |
L(r)(E,1)/r! |
Ω |
1.1707197582623 |
Real period |
R |
0.82578998939884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990bc1 114950bx1 |
Quadratic twists by: 5 -11 |