Atkin-Lehner |
2- 3- 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970cg |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-85073571000 = -1 · 23 · 36 · 53 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4487,-115401] |
[a1,a2,a3,a4,a6] |
Generators |
[93:468:1] |
Generators of the group modulo torsion |
j |
-13701674594089/116699000 |
j-invariant |
L |
11.016384276056 |
L(r)(E,1)/r! |
Ω |
0.29151932777971 |
Real period |
R |
2.0994194570074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330d1 |
Quadratic twists by: -3 |