Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bo |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-1.6239989422293E+25 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11+ -5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58612159,88083513057] |
[a1,a2,a3,a4,a6] |
Generators |
[12699198981313:1759708822765568:854670349] |
Generators of the group modulo torsion |
j |
84946783689490628882159/61950643243000528896 |
j-invariant |
L |
3.0475171012432 |
L(r)(E,1)/r! |
Ω |
0.044323563663361 |
Real period |
R |
17.189034733247 |
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 |
61248bc1 15312t1 |
Quadratic twists by: -4 8 |