Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738q |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-75549214468 = -1 · 22 · 7 · 137 · 43 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 3 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1377438,622122760] |
[a1,a2,a3,a4,a6] |
Generators |
[43380:-20845:64] |
Generators of the group modulo torsion |
j |
-59879725069515625/15652 |
j-invariant |
L |
6.6643432444477 |
L(r)(E,1)/r! |
Ω |
0.64260121784613 |
Real period |
R |
2.5927212184505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826f1 |
Quadratic twists by: 13 |