Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ch |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-2.058524997851E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6215617,6353484481] |
[a1,a2,a3,a4,a6] |
Generators |
[2385:71344:1] |
Generators of the group modulo torsion |
j |
-5020930768142/389191959 |
j-invariant |
L |
4.4074715192477 |
L(r)(E,1)/r! |
Ω |
0.14423191316558 |
Real period |
R |
1.2732594422473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ir1 15288bf1 122304dq1 |
Quadratic twists by: -4 8 -7 |