Atkin-Lehner |
31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42439b |
Isogeny class |
Conductor |
42439 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5362560 |
Modular degree for the optimal curve |
Δ |
1.7097883453006E+20 |
Discriminant |
Eigenvalues |
2 -1 4 3 -3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36675966,85500923229] |
[a1,a2,a3,a4,a6] |
Generators |
[16931484180:-344269424251:5832000] |
Generators of the group modulo torsion |
j |
2126464142970105856/66639542677 |
j-invariant |
L |
13.068157324293 |
L(r)(E,1)/r! |
Ω |
0.16870531304633 |
Real period |
R |
9.6826806224417 |
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 |
1147b1 |
Quadratic twists by: 37 |