Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100f |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
4272462838800 = 24 · 39 · 52 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37258,-2753903] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:39:1] |
Generators of the group modulo torsion |
j |
14299932657760000/10681157097 |
j-invariant |
L |
5.3080524313136 |
L(r)(E,1)/r! |
Ω |
0.34364748621214 |
Real period |
R |
1.2871844557957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100bg1 |
Quadratic twists by: 5 |