Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598w |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
974400 |
Modular degree for the optimal curve |
Δ |
-2383059855164048892 = -1 · 22 · 35 · 132 · 299 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-87902,74909783] |
[a1,a2,a3,a4,a6] |
Generators |
[423388890257356:10975729737524437:644077163456] |
Generators of the group modulo torsion |
j |
-5177717/164268 |
j-invariant |
L |
10.220671397078 |
L(r)(E,1)/r! |
Ω |
0.21557280871742 |
Real period |
R |
23.705845504151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65598g1 |
Quadratic twists by: 29 |