Atkin-Lehner |
7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47971i |
Isogeny class |
Conductor |
47971 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
1214308403875721 = 76 · 114 · 893 |
Discriminant |
Eigenvalues |
1 -2 2 7- 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-717680,233949321] |
[a1,a2,a3,a4,a6] |
Generators |
[4887:334376:1] |
Generators of the group modulo torsion |
j |
347477855987736937/10321451129 |
j-invariant |
L |
6.0269992293067 |
L(r)(E,1)/r! |
Ω |
0.45246566231226 |
Real period |
R |
6.6601730598553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
979b1 |
Quadratic twists by: -7 |