Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bg |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-30373056 = -1 · 26 · 37 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -4 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78,2] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] [17:79:1] |
Generators of the group modulo torsion |
j |
1124864/651 |
j-invariant |
L |
11.901568897937 |
L(r)(E,1)/r! |
Ω |
1.2490037560097 |
Real period |
R |
2.382212390724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992de1 62496bf1 41664d1 |
Quadratic twists by: -4 8 -3 |