Atkin-Lehner |
3- 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113775f |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
538825244765625 = 34 · 57 · 373 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10684276,13441166573] |
[a1,a2,a3,a4,a6] |
j |
8632546426724798734129/34484815665 |
j-invariant |
L |
2.7905332108287 |
L(r)(E,1)/r! |
Ω |
0.34881666743707 |
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 |
22755b1 |
Quadratic twists by: 5 |