Atkin-Lehner |
2+ 3+ 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954c |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
-1410156536976 = -1 · 24 · 33 · 112 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11- 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3681,104141] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-149:1] [-10:-369:1] |
Generators of the group modulo torsion |
j |
-204326061546699/52228019888 |
j-invariant |
L |
6.4495722196872 |
L(r)(E,1)/r! |
Ω |
0.81212245063679 |
Real period |
R |
0.19854063308495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63954q1 |
Quadratic twists by: -3 |