Atkin-Lehner |
2+ 3- 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30498j |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-41580604052208 = -1 · 24 · 34 · 136 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8287,109892] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:190:1] [0:331:1] |
Generators of the group modulo torsion |
j |
62949322618673399/41580604052208 |
j-invariant |
L |
5.6868341354542 |
L(r)(E,1)/r! |
Ω |
0.40346186755381 |
Real period |
R |
0.58729570590448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494bc1 |
Quadratic twists by: -3 |