Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488bw |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
2904056064 = 28 · 38 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5151,-142270] |
[a1,a2,a3,a4,a6] |
Generators |
[103:648:1] |
Generators of the group modulo torsion |
j |
80989901008/15561 |
j-invariant |
L |
5.9325151613683 |
L(r)(E,1)/r! |
Ω |
0.56354898823213 |
Real period |
R |
2.6317655111358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496k1 |
Quadratic twists by: -3 |