Atkin-Lehner |
2+ 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306g |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8346240 |
Modular degree for the optimal curve |
Δ |
-2.0769147555842E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 -1 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14126141,-7941519155] |
[a1,a2,a3,a4,a6] |
Generators |
[2248704334842373392724561437:184755894792003434525542157039:721358770797699075778121] |
Generators of the group modulo torsion |
j |
3980811254266247/2652137178624 |
j-invariant |
L |
4.9888314002136 |
L(r)(E,1)/r! |
Ω |
0.056945417818713 |
Real period |
R |
43.803624517214 |
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 |
60306e1 |
Quadratic twists by: -23 |