Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140h |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-836124173740110960 = -1 · 24 · 318 · 5 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1690077,-846827039] |
[a1,a2,a3,a4,a6] |
Generators |
[35358907727826092974896276822089240:329791326954577542644154379520441301:22949953980800762899545637615561] |
Generators of the group modulo torsion |
j |
-45771555926854983424/71684171274015 |
j-invariant |
L |
7.2526325387105 |
L(r)(E,1)/r! |
Ω |
0.06619911246173 |
Real period |
R |
54.778925796801 |
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 |
19380k1 |
Quadratic twists by: -3 |