Atkin-Lehner |
3- 5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
112575h |
Isogeny class |
Conductor |
112575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3234816 |
Modular degree for the optimal curve |
Δ |
-3043103491673296875 = -1 · 36 · 56 · 193 · 794 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 1 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-835558,-306001706] |
[a1,a2,a3,a4,a6] |
j |
-4128896637887131648/194758623467091 |
j-invariant |
L |
0.94485022627478 |
L(r)(E,1)/r! |
Ω |
0.078737454356034 |
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 |
4503b1 |
Quadratic twists by: 5 |