Atkin-Lehner |
2+ 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94962j |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-4788079002 = -1 · 2 · 32 · 77 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,3319] |
[a1,a2,a3,a4,a6] |
Generators |
[13:67:1] |
Generators of the group modulo torsion |
j |
-15625/40698 |
j-invariant |
L |
2.9029297368838 |
L(r)(E,1)/r! |
Ω |
1.1013718270116 |
Real period |
R |
0.32946749514771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566h1 |
Quadratic twists by: -7 |