Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544v |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
4246658304 = 28 · 3 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-1931] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:41:1] |
Generators of the group modulo torsion |
j |
351232/141 |
j-invariant |
L |
3.3104912327036 |
L(r)(E,1)/r! |
Ω |
1.0689238246773 |
Real period |
R |
3.0970319538121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272bh1 2256f1 |
Quadratic twists by: -4 -7 |