Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576ch |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-9089367146496 = -1 · 223 · 35 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 5 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3712,-167936] |
[a1,a2,a3,a4,a6] |
j |
-4027268071/6469632 |
j-invariant |
L |
1.1585311326728 |
L(r)(E,1)/r! |
Ω |
0.28963278316827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822bh1 122304ho1 91728ga1 30576cq1 |
Quadratic twists by: -4 8 -3 -7 |