Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630dm |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
9922560 |
Modular degree for the optimal curve |
Δ |
-9.2565207987039E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-253080150,-1549683776250] |
[a1,a2,a3,a4,a6] |
j |
-15237359766831865024183249/78679128583361250 |
j-invariant |
L |
5.1478253914237 |
L(r)(E,1)/r! |
Ω |
0.018925828644955 |
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 |
127890bo1 6090t1 |
Quadratic twists by: -3 -7 |