Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40180a |
Isogeny class |
Conductor |
40180 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
535392 |
Modular degree for the optimal curve |
Δ |
1230512500000000 = 28 · 511 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2175208,1234806468] |
[a1,a2,a3,a4,a6] |
Generators |
[848:174:1] |
Generators of the group modulo torsion |
j |
1851799498990608384/2001953125 |
j-invariant |
L |
4.1792091364893 |
L(r)(E,1)/r! |
Ω |
0.40847521205153 |
Real period |
R |
3.4104143190608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40180e1 |
Quadratic twists by: -7 |