Atkin-Lehner |
3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108489i |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
34009920 |
Modular degree for the optimal curve |
Δ |
1.1829936810862E+25 |
Discriminant |
Eigenvalues |
0 3- 1 -2 -1 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-770082955,8223428392837] |
[a1,a2,a3,a4,a6] |
Generators |
[37385405:20360510279:125] |
Generators of the group modulo torsion |
j |
84907930899549935927296/19888152318865869 |
j-invariant |
L |
6.7735855490935 |
L(r)(E,1)/r! |
Ω |
0.06963680677807 |
Real period |
R |
3.4739354072992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3741c1 |
Quadratic twists by: 29 |