Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710cd |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-466208983357418340 = -1 · 22 · 32 · 5 · 135 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-370215,92562657] |
[a1,a2,a3,a4,a6] |
j |
-804441463921/66832740 |
j-invariant |
L |
3.4782934334669 |
L(r)(E,1)/r! |
Ω |
0.28985781135738 |
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 |
112710cm1 |
Quadratic twists by: 17 |