Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710bv |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
8225280 |
Modular degree for the optimal curve |
Δ |
-7.231590990133E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6717811,-6828321487] |
[a1,a2,a3,a4,a6] |
Generators |
[3299:81582:1] |
Generators of the group modulo torsion |
j |
-4806353270849329/103667466240 |
j-invariant |
L |
6.9602716068956 |
L(r)(E,1)/r! |
Ω |
0.046828268458184 |
Real period |
R |
1.2386164439641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710da1 |
Quadratic twists by: 17 |