Atkin-Lehner |
2+ 5- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
23230b |
Isogeny class |
Conductor |
23230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-3044802560 = -1 · 218 · 5 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -3 4 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5703473,-5243201084] |
[a1,a2,a3,a4,a6] |
Generators |
[88424678379070620657806673221:7680151267192245431182333062182:10545027848184378521219183] |
Generators of the group modulo torsion |
j |
-20518318763401872805599241/3044802560 |
j-invariant |
L |
4.3453121935951 |
L(r)(E,1)/r! |
Ω |
0.048846642840645 |
Real period |
R |
44.479128358636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150s1 |
Quadratic twists by: 5 |