Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600cw |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
223074000 = 24 · 38 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210,925] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:45:1] |
Generators of the group modulo torsion |
j |
702464/153 |
j-invariant |
L |
5.2847043288288 |
L(r)(E,1)/r! |
Ω |
1.6704265024607 |
Real period |
R |
0.79092140855105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200cv1 10200v1 30600bc1 |
Quadratic twists by: -4 -3 5 |