Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952s |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
13437149709312 = 210 · 38 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21315,1184722] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:1274:1] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
6.7395424430609 |
L(r)(E,1)/r! |
Ω |
0.70967240953641 |
Real period |
R |
2.3741737629428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976bf1 39984v1 2448g1 |
Quadratic twists by: -4 -3 -7 |