Atkin-Lehner |
2+ 3+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
109224a |
Isogeny class |
Conductor |
109224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-3439245312 = -1 · 211 · 33 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 -1 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6915,-221346] |
[a1,a2,a3,a4,a6] |
j |
-661312221750/62197 |
j-invariant |
L |
4.1883113008917 |
L(r)(E,1)/r! |
Ω |
0.26176951135543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109224e1 |
Quadratic twists by: -3 |