Atkin-Lehner |
2+ 3+ 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650q |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
-5116031250000 = -1 · 24 · 3 · 59 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11+ 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7450,-273500] |
[a1,a2,a3,a4,a6] |
Generators |
[4620:48190:27] |
Generators of the group modulo torsion |
j |
-23418203381/2619408 |
j-invariant |
L |
4.5896357912871 |
L(r)(E,1)/r! |
Ω |
0.25532603365858 |
Real period |
R |
4.4938972002587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650cv1 |
Quadratic twists by: 5 |