Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23940c |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1659329280 = -1 · 28 · 33 · 5 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-888,10372] |
[a1,a2,a3,a4,a6] |
j |
-11203633152/240065 |
j-invariant |
L |
2.9934554204481 |
L(r)(E,1)/r! |
Ω |
1.496727710224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95760bx1 23940f2 119700e1 |
Quadratic twists by: -4 -3 5 |