Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200cd |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.2049334E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36955008,86451328512] |
[a1,a2,a3,a4,a6] |
Generators |
[308954758:-103520796875:2744] |
Generators of the group modulo torsion |
j |
87209470930780783801/34452084375000 |
j-invariant |
L |
6.9402432668602 |
L(r)(E,1)/r! |
Ω |
0.14368975388881 |
Real period |
R |
12.075048987975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650bf2 17040bb2 |
Quadratic twists by: -4 5 |