Atkin-Lehner |
2- 3+ 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cv |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
2592 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-2.4404559301237E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1553443,-98114011] |
[a1,a2,a3,a4,a6] |
Generators |
[147:11476:1] |
Generators of the group modulo torsion |
j |
15354871185135888489357/9038725667125000000 |
j-invariant |
L |
12.839580475179 |
L(r)(E,1)/r! |
Ω |
0.10310464259401 |
Real period |
R |
1.7295778503184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028269 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810f3 |
Quadratic twists by: -3 |