Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
27018l |
Isogeny class |
Conductor |
27018 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-3.2240101438067E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 1 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67460,-2731838169] |
[a1,a2,a3,a4,a6] |
Generators |
[1517:24837:1] |
Generators of the group modulo torsion |
j |
-46572457913061625/4422510485331591168 |
j-invariant |
L |
8.5303416558106 |
L(r)(E,1)/r! |
Ω |
0.064726608501591 |
Real period |
R |
0.23533989049388 |
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 |
9006b1 |
Quadratic twists by: -3 |