Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ii |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3667021250264064 = -1 · 210 · 33 · 77 · 115 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2679,2913903] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1617:1] |
Generators of the group modulo torsion |
j |
17643776/30438639 |
j-invariant |
L |
7.3044246634508 |
L(r)(E,1)/r! |
Ω |
0.347247524201 |
Real period |
R |
0.35058683652323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488o1 25872bh1 14784ca1 |
Quadratic twists by: -4 8 -7 |