Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dq |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-3955831603200000000 = -1 · 226 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672033,232416063] |
[a1,a2,a3,a4,a6] |
Generators |
[393:5400:1] |
Generators of the group modulo torsion |
j |
-8194759433281/965779200 |
j-invariant |
L |
7.8454106873106 |
L(r)(E,1)/r! |
Ω |
0.24064388341214 |
Real period |
R |
2.0376091126691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999634589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fl1 3450d1 22080d1 |
Quadratic twists by: -4 8 5 |