Atkin-Lehner |
2+ 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430f |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-41406340940800 = -1 · 210 · 52 · 117 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 11- -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25534,-1602768] |
[a1,a2,a3,a4,a6] |
Generators |
[186:209:1] |
Generators of the group modulo torsion |
j |
-1039201376689/23372800 |
j-invariant |
L |
3.6625850359642 |
L(r)(E,1)/r! |
Ω |
0.18858797034931 |
Real period |
R |
2.427636995428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999907887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130e1 |
Quadratic twists by: -11 |