Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520cr |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-264625333596979200 = -1 · 217 · 313 · 52 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-491841,134888895] |
[a1,a2,a3,a4,a6] |
Generators |
[-753:8880:1] [-603:14580:1] |
Generators of the group modulo torsion |
j |
-100389630395083682/2018931072975 |
j-invariant |
L |
9.0978878508752 |
L(r)(E,1)/r! |
Ω |
0.31033811013449 |
Real period |
R |
0.093961701788096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520h1 8880c1 106560gl1 |
Quadratic twists by: -4 8 -3 |