Atkin-Lehner |
2- 3- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330be |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
122400 |
Modular degree for the optimal curve |
Δ |
-873904788000 = -1 · 25 · 36 · 53 · 173 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2227,-20203] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/1198772000 |
j-invariant |
L |
2.4991743642202 |
L(r)(E,1)/r! |
Ω |
0.49983487157669 |
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 |
10370b1 |
Quadratic twists by: -3 |