Atkin-Lehner |
3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
603b |
Isogeny class |
Conductor |
603 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
1318761 = 39 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29,28] |
[a1,a2,a3,a4,a6] |
j |
132651/67 |
j-invariant |
L |
1.1996205221976 |
L(r)(E,1)/r! |
Ω |
2.3992410443951 |
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 |
9648e1 38592d1 603a1 15075a1 |
Quadratic twists by: -4 8 -3 5 |