Atkin-Lehner |
2- 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cf |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
780 |
Product of Tamagawa factors cp |
deg |
6489600 |
Modular degree for the optimal curve |
Δ |
-2.3255991357825E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6882606,2354982495] |
[a1,a2,a3,a4,a6] |
Generators |
[3619:271463:1] |
Generators of the group modulo torsion |
j |
44201358363692543/28509397475328 |
j-invariant |
L |
6.6882560915118 |
L(r)(E,1)/r! |
Ω |
0.074960766672852 |
Real period |
R |
0.11438900209302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078o1 |
Quadratic twists by: 13 |