Atkin-Lehner |
2- 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480bx |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
6725250000 = 24 · 32 · 56 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,13530] |
[a1,a2,a3,a4,a6] |
Generators |
[6:84:1] [34:126:1] |
Generators of the group modulo torsion |
j |
9745585291264/420328125 |
j-invariant |
L |
12.117744569707 |
L(r)(E,1)/r! |
Ω |
1.3189705603331 |
Real period |
R |
4.5936372403423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620d1 |
Quadratic twists by: -4 |