Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bv |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-69401945113200 = -1 · 24 · 36 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45,-400815] |
[a1,a2,a3,a4,a6] |
Generators |
[384:7497:1] |
Generators of the group modulo torsion |
j |
-34560/238003927 |
j-invariant |
L |
6.1155724570703 |
L(r)(E,1)/r! |
Ω |
0.28260015682314 |
Real period |
R |
0.77287042143028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900c1 107100ce1 |
Quadratic twists by: -3 5 |