Atkin-Lehner |
2+ 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630u |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
3.4213919007744E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8497629,-9528152315] |
[a1,a2,a3,a4,a6] |
j |
93087102248804194242769/46932673536000000 |
j-invariant |
L |
1.061132209757 |
L(r)(E,1)/r! |
Ω |
0.088427684424291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210s1 |
Quadratic twists by: -3 |