Atkin-Lehner |
2+ 3- 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870l |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
35223552 |
Modular degree for the optimal curve |
Δ |
-4.9944942141562E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54682614,-373934440980] |
[a1,a2,a3,a4,a6] |
j |
-24805271756724790630386529/68511580441100679375000 |
j-invariant |
L |
2.8840095382667 |
L(r)(E,1)/r! |
Ω |
0.02575009181241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290bb1 |
Quadratic twists by: -3 |