Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302x |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-82617604992 = -1 · 27 · 36 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,729,11389] |
[a1,a2,a3,a4,a6] |
Generators |
[75:658:1] |
Generators of the group modulo torsion |
j |
2056223/3968 |
j-invariant |
L |
6.3358837762862 |
L(r)(E,1)/r! |
Ω |
0.74526465167179 |
Real period |
R |
2.8338406438141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478m1 94302bz1 |
Quadratic twists by: -3 13 |