Atkin-Lehner |
2- 3+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30906j |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
78135683832 = 23 · 39 · 173 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -2 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7022,-224315] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:41:1] |
Generators of the group modulo torsion |
j |
1945167082587/3969704 |
j-invariant |
L |
6.954477307458 |
L(r)(E,1)/r! |
Ω |
0.52160581907071 |
Real period |
R |
0.74071230858327 |
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 |
30906c1 |
Quadratic twists by: -3 |