Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080x |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-2450460600000000000 = -1 · 212 · 36 · 511 · 75 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,269208,52744176] |
[a1,a2,a3,a4,a6] |
Generators |
[292:12500:1] |
Generators of the group modulo torsion |
j |
722603599520256/820654296875 |
j-invariant |
L |
4.6686418879891 |
L(r)(E,1)/r! |
Ω |
0.17161319070153 |
Real period |
R |
1.2365657560535 |
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 |
10080cb1 20160z1 1120j1 50400dp1 |
Quadratic twists by: -4 8 -3 5 |