Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520bb |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-4.61989375936E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-642320,-382577900] |
[a1,a2,a3,a4,a6] |
Generators |
[2220:-95590:1] [1588:51034:1] |
Generators of the group modulo torsion |
j |
-7155150532299841681/11279037498437500 |
j-invariant |
L |
7.7308349688729 |
L(r)(E,1)/r! |
Ω |
0.079910635217826 |
Real period |
R |
2.015489695612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690i1 |
Quadratic twists by: -4 |