Atkin-Lehner |
2- 3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
68076c |
Isogeny class |
Conductor |
68076 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-646001108925696 = -1 · 28 · 316 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -3 7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23439,-1844746] |
[a1,a2,a3,a4,a6] |
Generators |
[187:558:1] |
Generators of the group modulo torsion |
j |
-7630859468752/3461511429 |
j-invariant |
L |
4.3058624730637 |
L(r)(E,1)/r! |
Ω |
0.18878947517689 |
Real period |
R |
1.9006455336376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22692a1 |
Quadratic twists by: -3 |