Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970di |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-2.9761187051484E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7936907,8612454939] |
[a1,a2,a3,a4,a6] |
Generators |
[947:-44574:1] |
Generators of the group modulo torsion |
j |
-644706081631626841/347004000000 |
j-invariant |
L |
11.607432947926 |
L(r)(E,1)/r! |
Ω |
0.20664301979437 |
Real period |
R |
0.2925595067016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990e1 10710bg1 |
Quadratic twists by: -3 -7 |