Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bo |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-78124583152000000 = -1 · 210 · 56 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,104125,-3687250] |
[a1,a2,a3,a4,a6] |
Generators |
[5035:358000:1] |
Generators of the group modulo torsion |
j |
66325500/41503 |
j-invariant |
L |
4.6708203110666 |
L(r)(E,1)/r! |
Ω |
0.19775942287459 |
Real period |
R |
5.9046747893388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4312b1 15400q1 |
Quadratic twists by: 5 -7 |