Atkin-Lehner |
2- 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350bg |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-2393612678812500 = -1 · 22 · 36 · 56 · 175 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34963,-3460219] |
[a1,a2,a3,a4,a6] |
Generators |
[132047149:2021655468:357911] |
Generators of the group modulo torsion |
j |
-302503589987689/153191211444 |
j-invariant |
L |
8.6708874293492 |
L(r)(E,1)/r! |
Ω |
0.17048491474015 |
Real period |
R |
12.715036159674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3774k1 |
Quadratic twists by: 5 |