Atkin-Lehner |
2+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662j |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
19741266249334784 = 214 · 7 · 119 · 73 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 11+ -2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67964,-883888] |
[a1,a2,a3,a4,a6] |
Generators |
[-154728:1525492:729] |
Generators of the group modulo torsion |
j |
14724139851/8372224 |
j-invariant |
L |
5.3632144226323 |
L(r)(E,1)/r! |
Ω |
0.31949174456256 |
Real period |
R |
4.1966768177564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662t1 |
Quadratic twists by: -11 |