Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1120g |
Isogeny class |
Conductor |
1120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-89600000 = -1 · 212 · 55 · 7 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 3 -7 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,437] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:20:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
2.3097996538293 |
L(r)(E,1)/r! |
Ω |
1.4256286476431 |
Real period |
R |
0.16201972776346 |
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 |
1120m1 2240b1 10080br1 5600m1 |
Quadratic twists by: -4 8 -3 5 |