Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600hf |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1418130453888000 = -1 · 210 · 33 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 3 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14247,-1694223] |
[a1,a2,a3,a4,a6] |
Generators |
[235368:4401685:729] |
Generators of the group modulo torsion |
j |
2498351450368/11079144171 |
j-invariant |
L |
4.6507337890101 |
L(r)(E,1)/r! |
Ω |
0.24227760092155 |
Real period |
R |
9.5979442036668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600en1 20400ds1 81600jx1 |
Quadratic twists by: -4 8 5 |