Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3150u |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-111628125000 = -1 · 23 · 36 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,-10584] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
1.148260461543 |
L(r)(E,1)/r! |
Ω |
0.57413023077151 |
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 |
25200fb1 100800hz1 350b1 3150bh1 |
Quadratic twists by: -4 8 -3 5 |