Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370n |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-70165863600000 = -1 · 27 · 3 · 55 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1152,402816] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:634:1] |
Generators of the group modulo torsion |
j |
-1439069689/596400000 |
j-invariant |
L |
4.550104780492 |
L(r)(E,1)/r! |
Ω |
0.50003545962009 |
Real period |
R |
0.45497820835861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910m1 |
Quadratic twists by: -7 |