Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69192bb |
Isogeny class |
Conductor |
69192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2095104 |
Modular degree for the optimal curve |
Δ |
-1.0658018979604E+21 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 3 1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,804357,-1545974154] |
[a1,a2,a3,a4,a6] |
Generators |
[6400298313061510:2396499082814345851:45652403224] |
Generators of the group modulo torsion |
j |
54 |
j-invariant |
L |
6.977580454744 |
L(r)(E,1)/r! |
Ω |
0.075621037836536 |
Real period |
R |
23.067590231395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69192c1 69192bc1 |
Quadratic twists by: -3 -31 |