Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620r |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-114108750000 = -1 · 24 · 34 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1605,30150] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:225:1] |
Generators of the group modulo torsion |
j |
-583583924224/145546875 |
j-invariant |
L |
5.341545172776 |
L(r)(E,1)/r! |
Ω |
1.0021528014646 |
Real period |
R |
0.12690644258632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620x1 |
Quadratic twists by: -7 |