Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302y |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
4785352792005966336 = 29 · 37 · 1310 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-519453,98557317] |
[a1,a2,a3,a4,a6] |
Generators |
[1595946:51421485:10648] |
Generators of the group modulo torsion |
j |
154241737/47616 |
j-invariant |
L |
5.228134987111 |
L(r)(E,1)/r! |
Ω |
0.22571743042703 |
Real period |
R |
11.58115033388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31434w1 94302cb1 |
Quadratic twists by: -3 13 |