Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600y |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
1543383943200000000 = 211 · 32 · 58 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1719208,866154412] |
[a1,a2,a3,a4,a6] |
Generators |
[-382648:21314379:512] |
Generators of the group modulo torsion |
j |
3277010/9 |
j-invariant |
L |
5.9455286262387 |
L(r)(E,1)/r! |
Ω |
0.26870563738079 |
Real period |
R |
11.063274819201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600ea1 72600de1 |
Quadratic twists by: 5 -11 |