Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720t |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-18398562394800 = -1 · 24 · 3 · 52 · 76 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4671,-241746] |
[a1,a2,a3,a4,a6] |
Generators |
[22829:3449355:1] |
Generators of the group modulo torsion |
j |
-5988775936/9774075 |
j-invariant |
L |
8.7375581030269 |
L(r)(E,1)/r! |
Ω |
0.27331341205904 |
Real period |
R |
3.9961257410754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2280b1 |
Quadratic twists by: -7 |