Atkin-Lehner |
3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73515g |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.4590810049016E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9689671,11630711161] |
[a1,a2,a3,a4,a6] |
Generators |
[1655:11407:1] |
Generators of the group modulo torsion |
j |
-20844464253240180736/50946308521875 |
j-invariant |
L |
6.8056414192964 |
L(r)(E,1)/r! |
Ω |
0.17598018217719 |
Real period |
R |
2.1484873196824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5655g1 |
Quadratic twists by: 13 |