Atkin-Lehner |
2+ 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050w |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-1433954437500 = -1 · 22 · 3 · 56 · 133 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2449,33998] |
[a1,a2,a3,a4,a6] |
Generators |
[77:786:1] |
Generators of the group modulo torsion |
j |
104021936927/91773084 |
j-invariant |
L |
6.1234366724788 |
L(r)(E,1)/r! |
Ω |
0.55487200109727 |
Real period |
R |
2.7589410841306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602d1 |
Quadratic twists by: 5 |