Atkin-Lehner |
2- 3- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42780i |
Isogeny class |
Conductor |
42780 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
25296000 |
Modular degree for the optimal curve |
Δ |
-7.5941451094096E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,207743780,-4031157377932] |
[a1,a2,a3,a4,a6] |
j |
3873181362579465090643379504/29664629333631134033203125 |
j-invariant |
L |
3.5229696801063 |
L(r)(E,1)/r! |
Ω |
0.02072335105938 |
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 |
128340g1 |
Quadratic twists by: -3 |