Atkin-Lehner |
3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
55815a |
Isogeny class |
Conductor |
55815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20496000 |
Modular degree for the optimal curve |
Δ |
1.4625758885688E+25 |
Discriminant |
Eigenvalues |
2 3+ 5+ -2 3 -2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-87690326,-256954835143] |
[a1,a2,a3,a4,a6] |
Generators |
[23953136151762032922906152972161051924580580347781910:30725743208186469656436674044279910862552884733859191437:14556869925382026685246869457239100774060259000] |
Generators of the group modulo torsion |
j |
104539500544/20503125 |
j-invariant |
L |
8.2999625539137 |
L(r)(E,1)/r! |
Ω |
0.050010364243977 |
Real period |
R |
82.982424537262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55815b1 |
Quadratic twists by: 61 |