Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
42976b |
Isogeny class |
Conductor |
42976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
583631958016 = 212 · 172 · 793 |
Discriminant |
Eigenvalues |
2- 3 3 -1 -2 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4876,125792] |
[a1,a2,a3,a4,a6] |
Generators |
[516:5372:27] |
Generators of the group modulo torsion |
j |
3130075801152/142488271 |
j-invariant |
L |
12.36629695846 |
L(r)(E,1)/r! |
Ω |
0.90842745730723 |
Real period |
R |
1.1344051065928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42976a1 85952h1 |
Quadratic twists by: -4 8 |