Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492t |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
2017067489858260224 = 28 · 37 · 75 · 118 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 0 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-511104,-122925836] |
[a1,a2,a3,a4,a6] |
j |
369098752/50421 |
j-invariant |
L |
0.72068770928947 |
L(r)(E,1)/r! |
Ω |
0.18017192732188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968gh1 10164r1 30492bj1 |
Quadratic twists by: -4 -3 -11 |