Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640be |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
3268608 |
Modular degree for the optimal curve |
Δ |
-5066574596460000000 = -1 · 28 · 36 · 57 · 134 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7150212,-7359927084] |
[a1,a2,a3,a4,a6] |
Generators |
[5532:-349830:1] |
Generators of the group modulo torsion |
j |
-216627193999441972224/27148569296875 |
j-invariant |
L |
8.0490816351891 |
L(r)(E,1)/r! |
Ω |
0.046162206984552 |
Real period |
R |
1.0378879881443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11960a1 |
Quadratic twists by: -3 |