Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768bi |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
90624 |
Modular degree for the optimal curve |
Δ |
-21393688896 = -1 · 26 · 312 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,596,4466] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5670:1] |
Generators of the group modulo torsion |
j |
365219225792/334276389 |
j-invariant |
L |
6.8090951905458 |
L(r)(E,1)/r! |
Ω |
0.79061853872114 |
Real period |
R |
2.8707882684786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998724336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120768g1 60384t2 |
Quadratic twists by: -4 8 |