Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bw |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-111788181324000000 = -1 · 28 · 39 · 56 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 1 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114900,5834500] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1998:1] |
Generators of the group modulo torsion |
j |
57530252288/38336139 |
j-invariant |
L |
5.48209132363 |
L(r)(E,1)/r! |
Ω |
0.20926687805847 |
Real period |
R |
3.2745813470887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200z1 10200q1 1224e1 |
Quadratic twists by: -4 -3 5 |