Atkin-Lehner |
2- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76850h |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-19212500000000 = -1 · 28 · 511 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -3 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-89688,10332992] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-136:1] |
Generators of the group modulo torsion |
j |
-5106308007036601/1229600000 |
j-invariant |
L |
12.720603170624 |
L(r)(E,1)/r! |
Ω |
0.66911363058726 |
Real period |
R |
1.1881953405458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15370d1 |
Quadratic twists by: 5 |