Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
60600x |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
2650644000000 = 28 · 38 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 -5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7033,215437] |
[a1,a2,a3,a4,a6] |
Generators |
[31:162:1] |
Generators of the group modulo torsion |
j |
9619385344/662661 |
j-invariant |
L |
3.7443560284617 |
L(r)(E,1)/r! |
Ω |
0.79409475761029 |
Real period |
R |
1.1788127275071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200bh1 2424e1 |
Quadratic twists by: -4 5 |