Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fe |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
788480000000 = 217 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1642700,-810374000] |
[a1,a2,a3,a4,a6] |
Generators |
[79392:3797612:27] |
Generators of the group modulo torsion |
j |
239369344910082/385 |
j-invariant |
L |
5.1821087962186 |
L(r)(E,1)/r! |
Ω |
0.13335521086115 |
Real period |
R |
9.7148600739142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999549564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200l4 30800l4 24640z4 |
Quadratic twists by: -4 8 5 |