Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878r |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
118297153060466688 = 212 · 36 · 76 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4514202,-3690476748] |
[a1,a2,a3,a4,a6] |
Generators |
[3108:109326:1] |
Generators of the group modulo torsion |
j |
13955300880533969118625/162273186639872 |
j-invariant |
L |
4.4154654309823 |
L(r)(E,1)/r! |
Ω |
0.10357491986507 |
Real period |
R |
1.7762767910476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542o2 |
Quadratic twists by: -3 |