Atkin-Lehner |
2- 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350bp |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-309058633728000 = -1 · 218 · 34 · 53 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-348133,78921131] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:9372:1] |
Generators of the group modulo torsion |
j |
-37329257778128610533/2472469069824 |
j-invariant |
L |
8.7913159575445 |
L(r)(E,1)/r! |
Ω |
0.51707990621448 |
Real period |
R |
0.078712277220325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999797225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103350w1 |
Quadratic twists by: 5 |