Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240s |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2603520 |
Modular degree for the optimal curve |
Δ |
6469875000000000 = 29 · 36 · 512 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 2 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14498067,-21247765274] |
[a1,a2,a3,a4,a6] |
Generators |
[-59361:170:27] |
Generators of the group modulo torsion |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
7.5019291078302 |
L(r)(E,1)/r! |
Ω |
0.077369898937445 |
Real period |
R |
4.0400773935341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240bv1 11360j1 |
Quadratic twists by: -4 -3 |