Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100i |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
2047748461200 = 24 · 313 · 52 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3738,-53523] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:181:1] |
Generators of the group modulo torsion |
j |
14444342920960/5119371153 |
j-invariant |
L |
5.1746117229485 |
L(r)(E,1)/r! |
Ω |
0.62842473196967 |
Real period |
R |
4.1171292742115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100bi1 |
Quadratic twists by: 5 |