Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660c |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-515573824474800 = -1 · 24 · 33 · 52 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29988,-2277863] |
[a1,a2,a3,a4,a6] |
Generators |
[476:-9555:1] |
Generators of the group modulo torsion |
j |
-58680557568/10144225 |
j-invariant |
L |
5.6765253157293 |
L(r)(E,1)/r! |
Ω |
0.17970201453117 |
Real period |
R |
1.3161894020777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660j1 16380b1 |
Quadratic twists by: -3 -7 |