Atkin-Lehner |
2- 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088s |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-8747604688896 = -1 · 214 · 34 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 3 6 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4405,182893] |
[a1,a2,a3,a4,a6] |
j |
-577085415424/533911419 |
j-invariant |
L |
2.6767264154088 |
L(r)(E,1)/r! |
Ω |
0.66918141110447 |
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 |
113088m1 28272h1 |
Quadratic twists by: -4 8 |