Atkin-Lehner |
2- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100912p |
Isogeny class |
Conductor |
100912 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-2621498054388206336 = -1 · 28 · 77 · 174 · 533 |
Discriminant |
Eigenvalues |
2- 0 1 7- -1 -6 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124792,-79725732] |
[a1,a2,a3,a4,a6] |
Generators |
[678:12138:1] |
Generators of the group modulo torsion |
j |
-839545004880470016/10240226774953931 |
j-invariant |
L |
5.2044918164575 |
L(r)(E,1)/r! |
Ω |
0.10927055499552 |
Real period |
R |
1.7010502749237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25228a1 |
Quadratic twists by: -4 |