Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100g |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-45683539200 = -1 · 28 · 32 · 52 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,892,552] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-494:1] |
Generators of the group modulo torsion |
j |
12250430000/7138053 |
j-invariant |
L |
5.3468613932379 |
L(r)(E,1)/r! |
Ω |
0.68566578805856 |
Real period |
R |
0.21661271454419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100bf1 |
Quadratic twists by: 5 |