Atkin-Lehner |
3+ 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725f |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1101427875 = -1 · 38 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6143,187388] |
[a1,a2,a3,a4,a6] |
Generators |
[314:573:8] [62:202:1] |
Generators of the group modulo torsion |
j |
-205128469938176/8811423 |
j-invariant |
L |
8.2031104060914 |
L(r)(E,1)/r! |
Ω |
1.4558731551638 |
Real period |
R |
1.4086238173278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725x1 |
Quadratic twists by: 5 |