Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800s |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-19123200 = -1 · 210 · 32 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,412] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:24:1] [1:18:1] |
Generators of the group modulo torsion |
j |
-2977540/747 |
j-invariant |
L |
7.661850847604 |
L(r)(E,1)/r! |
Ω |
2.0677813010608 |
Real period |
R |
0.92633718610312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600z1 49800p1 |
Quadratic twists by: -4 5 |