Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
42600s |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
34788949200 = 24 · 35 · 52 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1263,15192] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:142:1] |
Generators of the group modulo torsion |
j |
557464975360/86972373 |
j-invariant |
L |
5.5301588024266 |
L(r)(E,1)/r! |
Ω |
1.1122073535102 |
Real period |
R |
0.82870620377497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200u1 127800e1 42600m1 |
Quadratic twists by: -4 -3 5 |