Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700j |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
218592 |
Modular degree for the optimal curve |
Δ |
9603277868800 = 28 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6655,-146410] |
[a1,a2,a3,a4,a6] |
Generators |
[-523446:2053612:9261] |
Generators of the group modulo torsion |
j |
23760/7 |
j-invariant |
L |
11.780772702811 |
L(r)(E,1)/r! |
Ω |
0.54055134576547 |
Real period |
R |
7.2646646150426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84700bk1 84700w1 |
Quadratic twists by: 5 -11 |