Atkin-Lehner |
2+ 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512b |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-889245076698849024 = -1 · 28 · 39 · 78 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189081,32510970] |
[a1,a2,a3,a4,a6] |
j |
148366593659664/176477853013 |
j-invariant |
L |
4.4977842870453 |
L(r)(E,1)/r! |
Ω |
0.18740762160083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127512w1 |
Quadratic twists by: -3 |