Atkin-Lehner |
2+ 3+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74664a |
Isogeny class |
Conductor |
74664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49664 |
Modular degree for the optimal curve |
Δ |
-35215126272 = -1 · 28 · 33 · 174 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1095,-16614] |
[a1,a2,a3,a4,a6] |
j |
-21006918000/5094781 |
j-invariant |
L |
1.638890266826 |
L(r)(E,1)/r! |
Ω |
0.40972256924573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74664c1 |
Quadratic twists by: -3 |