Atkin-Lehner |
2+ 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498c |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-2465801390934 = -1 · 2 · 33 · 78 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 1 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2637,-55357] |
[a1,a2,a3,a4,a6] |
Generators |
[31:220:1] |
Generators of the group modulo torsion |
j |
13026069/15842 |
j-invariant |
L |
6.4576273496562 |
L(r)(E,1)/r! |
Ω |
0.43681621320213 |
Real period |
R |
3.6958491657763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bd1 78498j1 |
Quadratic twists by: -3 -7 |