Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672dc |
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 |
[1703:39668:1] |
Generators of the group modulo torsion |
j |
3818094016/2197 |
j-invariant |
L |
1.9233509239978 |
L(r)(E,1)/r! |
Ω |
0.13548162968636 |
Real period |
R |
7.0981982031857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672ct1 50336x1 100672ec1 |
Quadratic twists by: -4 8 -11 |