Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
22120c |
Isogeny class |
Conductor |
22120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
707840 = 28 · 5 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 1 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68,212] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
135834624/2765 |
j-invariant |
L |
4.0439253721507 |
L(r)(E,1)/r! |
Ω |
2.8577405592192 |
Real period |
R |
0.70753892600655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44240d1 110600f1 |
Quadratic twists by: -4 5 |