Atkin-Lehner |
2- 3+ 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650ca |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-205343748000000000 = -1 · 211 · 35 · 59 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 4 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-344063,-80824219] |
[a1,a2,a3,a4,a6] |
Generators |
[875:16562:1] |
Generators of the group modulo torsion |
j |
-288282102195061801/13141999872000 |
j-invariant |
L |
8.2306607020696 |
L(r)(E,1)/r! |
Ω |
0.098300341221448 |
Real period |
R |
0.63431611246613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930r1 |
Quadratic twists by: 5 |