Atkin-Lehner |
3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30603a |
Isogeny class |
Conductor |
30603 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3060 |
Modular degree for the optimal curve |
Δ |
-275427 = -1 · 33 · 1012 |
Discriminant |
Eigenvalues |
0 3+ 2 -1 2 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-67,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[372:964:27] |
Generators of the group modulo torsion |
j |
-3309568/27 |
j-invariant |
L |
4.2462331658767 |
L(r)(E,1)/r! |
Ω |
0.8329147191495 |
Real period |
R |
5.0980407336451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91809d1 30603e1 |
Quadratic twists by: -3 101 |