Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94178o |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
2836466565632 = 29 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -6 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5538,134063] |
[a1,a2,a3,a4,a6] |
Generators |
[69:259:1] |
Generators of the group modulo torsion |
j |
3390625/512 |
j-invariant |
L |
13.918047187679 |
L(r)(E,1)/r! |
Ω |
0.77167639216176 |
Real period |
R |
0.66800440401395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94178bc1 94178l1 |
Quadratic twists by: -7 -31 |