Atkin-Lehner |
2- 3- 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970ch |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
25557120 |
Modular degree for the optimal curve |
Δ |
-4651789824000 = -1 · 212 · 36 · 53 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1568576957,23911894278789] |
[a1,a2,a3,a4,a6] |
Generators |
[22863:-10552:1] |
Generators of the group modulo torsion |
j |
-585482172754527927236936425609/6381056000 |
j-invariant |
L |
9.7846481339888 |
L(r)(E,1)/r! |
Ω |
0.1754997416611 |
Real period |
R |
0.77434809563536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330e1 |
Quadratic twists by: -3 |