Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050dv |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
9305448199807500 = 22 · 33 · 54 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133880,18308047] |
[a1,a2,a3,a4,a6] |
Generators |
[2870:30913:8] |
Generators of the group modulo torsion |
j |
114075/4 |
j-invariant |
L |
10.880350018523 |
L(r)(E,1)/r! |
Ω |
0.40730559073262 |
Real period |
R |
6.6782474053925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050q1 76050a1 76050r1 |
Quadratic twists by: -3 5 13 |