Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
4326k |
Isogeny class |
Conductor |
4326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
736 |
Modular degree for the optimal curve |
Δ |
-60564 = -1 · 22 · 3 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 4 -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39,-111] |
[a1,a2,a3,a4,a6] |
j |
-6570725617/60564 |
j-invariant |
L |
3.8182699058159 |
L(r)(E,1)/r! |
Ω |
0.95456747645397 |
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 |
34608w1 12978q1 108150bb1 30282br1 |
Quadratic twists by: -4 -3 5 -7 |