Atkin-Lehner |
2+ 5- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
123280c |
Isogeny class |
Conductor |
123280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
275200 |
Modular degree for the optimal curve |
Δ |
-16132343750000 = -1 · 24 · 510 · 23 · 672 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 2 -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26540,-1684237] |
[a1,a2,a3,a4,a6] |
Generators |
[6267:58625:27] |
Generators of the group modulo torsion |
j |
-129217950566415616/1008271484375 |
j-invariant |
L |
9.3613647853229 |
L(r)(E,1)/r! |
Ω |
0.18693500670225 |
Real period |
R |
2.5039089670068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61640c1 |
Quadratic twists by: -4 |