Atkin-Lehner |
2- 3- 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
126540m |
Isogeny class |
Conductor |
126540 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
4709376 |
Modular degree for the optimal curve |
Δ |
-3.8024226325519E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139872,938400676] |
[a1,a2,a3,a4,a6] |
Generators |
[-880:19494:1] |
Generators of the group modulo torsion |
j |
-1621618061737984/2037477833800515 |
j-invariant |
L |
7.5808746320646 |
L(r)(E,1)/r! |
Ω |
0.13645546978429 |
Real period |
R |
0.66137698158316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42180f1 |
Quadratic twists by: -3 |