Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856r |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2308497408 = 213 · 34 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12096,-508032] |
[a1,a2,a3,a4,a6] |
Generators |
[15930:7866:125] |
Generators of the group modulo torsion |
j |
47788676405569/563598 |
j-invariant |
L |
6.0795121382113 |
L(r)(E,1)/r! |
Ω |
0.45523581845277 |
Real period |
R |
6.6773218316542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982l2 95424ci2 71568bn2 |
Quadratic twists by: -4 8 -3 |