Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390n |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118195200 |
Modular degree for the optimal curve |
Δ |
-3.8221295772382E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15246106800,724590263420000] |
[a1,a2,a3,a4,a6] |
Generators |
[262306219:226432659697:343] |
Generators of the group modulo torsion |
j |
-537617079035035624542262006188801/5242976100463867187500000 |
j-invariant |
L |
4.5885129842567 |
L(r)(E,1)/r! |
Ω |
0.039886561748341 |
Real period |
R |
14.379883797729 |
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 |
8710k1 |
Quadratic twists by: -3 |