Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078q |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-308963213309288538 = -1 · 2 · 33 · 73 · 112 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,127930,-20071722] |
[a1,a2,a3,a4,a6] |
Generators |
[781:23210:1] |
Generators of the group modulo torsion |
j |
1679585375/2241162 |
j-invariant |
L |
4.320320932431 |
L(r)(E,1)/r! |
Ω |
0.16325744249878 |
Real period |
R |
4.4105400494329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078bs1 |
Quadratic twists by: 13 |