Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2898k |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-6337926 = -1 · 2 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -2 -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-593] |
[a1,a2,a3,a4,a6] |
Generators |
[278:1369:8] |
Generators of the group modulo torsion |
j |
-14348907/322 |
j-invariant |
L |
4.8227571218852 |
L(r)(E,1)/r! |
Ω |
0.69720539514189 |
Real period |
R |
3.4586343963271 |
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 |
23184bd1 92736h1 2898a1 72450g1 |
Quadratic twists by: -4 8 -3 5 |