Atkin-Lehner |
2+ 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280o |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2408448 |
Modular degree for the optimal curve |
Δ |
-16234842960000000 = -1 · 210 · 34 · 57 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3725400,-2768875452] |
[a1,a2,a3,a4,a6] |
j |
-5583963910500403394404/15854338828125 |
j-invariant |
L |
3.0427367513983 |
L(r)(E,1)/r! |
Ω |
0.054334571666932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59640h1 |
Quadratic twists by: -4 |