Atkin-Lehner |
2- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550t |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
137376 |
Modular degree for the optimal curve |
Δ |
-847783436800 = -1 · 29 · 52 · 312 · 413 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -4 -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,112,-44288] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1212:1] |
Generators of the group modulo torsion |
j |
6211484375/33911337472 |
j-invariant |
L |
3.1901604469786 |
L(r)(E,1)/r! |
Ω |
0.4120301069744 |
Real period |
R |
0.14338040914528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550h1 |
Quadratic twists by: 5 |