Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bv |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-165406924800 = -1 · 213 · 34 · 52 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-443,19857] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-335:1] |
Generators of the group modulo torsion |
j |
-384641511385/6616276992 |
j-invariant |
L |
11.981446544311 |
L(r)(E,1)/r! |
Ω |
0.86052199522141 |
Real period |
R |
0.1338794557377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050r1 |
Quadratic twists by: 5 |