Atkin-Lehner |
2- 3- 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746o |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-71115408 = -1 · 24 · 36 · 7 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94,177] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
127263527/97552 |
j-invariant |
L |
7.3729855870298 |
L(r)(E,1)/r! |
Ω |
1.2474975629589 |
Real period |
R |
0.73877755207539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12194a1 |
Quadratic twists by: -3 |