Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
7080a |
Isogeny class |
Conductor |
7080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-244684800 = -1 · 211 · 34 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 3 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,-2004] |
[a1,a2,a3,a4,a6] |
j |
-1405190738/119475 |
j-invariant |
L |
2.2902311992833 |
L(r)(E,1)/r! |
Ω |
0.57255779982081 |
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 |
14160f1 56640bh1 21240m1 35400r1 |
Quadratic twists by: -4 8 -3 5 |