Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672ct |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
233408601491034112 = 212 · 1110 · 133 |
Discriminant |
Eigenvalues |
2- 1 -4 -2 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1542185,736264439] |
[a1,a2,a3,a4,a6] |
Generators |
[506:9259:1] |
Generators of the group modulo torsion |
j |
3818094016/2197 |
j-invariant |
L |
3.8919778139827 |
L(r)(E,1)/r! |
Ω |
0.30980543300427 |
Real period |
R |
6.2813259704238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999737062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dc1 50336z1 100672dt1 |
Quadratic twists by: -4 8 -11 |