Atkin-Lehner |
3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20181f |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1980000 |
Modular degree for the optimal curve |
Δ |
-392801137983387 = -1 · 311 · 74 · 314 |
Discriminant |
Eigenvalues |
-2 3+ 4 7- 2 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-40195106,98099593124] |
[a1,a2,a3,a4,a6] |
j |
-7776720357545683677184/425329947 |
j-invariant |
L |
1.1656372128687 |
L(r)(E,1)/r! |
Ω |
0.29140930321718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60543m1 20181p1 |
Quadratic twists by: -3 -31 |