Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600r |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-244069200000000 = -1 · 210 · 39 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10125,641250] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-1350:1] |
Generators of the group modulo torsion |
j |
14580/31 |
j-invariant |
L |
3.1730075192671 |
L(r)(E,1)/r! |
Ω |
0.38492502965738 |
Real period |
R |
0.68693192959301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800h1 111600q1 111600h1 |
Quadratic twists by: -4 -3 5 |