Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840u |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
29478775040 = 28 · 5 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2460,-47060] |
[a1,a2,a3,a4,a6] |
Generators |
[1821:8468:27] |
Generators of the group modulo torsion |
j |
3631696/65 |
j-invariant |
L |
4.5907466672489 |
L(r)(E,1)/r! |
Ω |
0.67861401114969 |
Real period |
R |
6.7648863111986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62920k1 1040b1 |
Quadratic twists by: -4 -11 |