Atkin-Lehner |
2- 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100a |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
3853200 = 24 · 3 · 52 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-198,1137] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:43:1] [-2:39:1] |
Generators of the group modulo torsion |
j |
2157003520/9633 |
j-invariant |
L |
8.938874007175 |
L(r)(E,1)/r! |
Ω |
2.4942885492787 |
Real period |
R |
0.59728948961004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100bl1 |
Quadratic twists by: 5 |