Atkin-Lehner |
2- 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768cv |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-1798832908878741504 = -1 · 240 · 32 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 1 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,260031,-39573279] |
[a1,a2,a3,a4,a6] |
j |
7417499034477167/6862002978816 |
j-invariant |
L |
3.4750202819994 |
L(r)(E,1)/r! |
Ω |
0.14479250839461 |
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 |
120768bt1 30192bj1 |
Quadratic twists by: -4 8 |