Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240n |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53084160 |
Modular degree for the optimal curve |
Δ |
-2.1488208405514E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2151262317,38469739500524] |
[a1,a2,a3,a4,a6] |
Generators |
[206867176793826657677:2153605855054775988780:7833054930715799] |
Generators of the group modulo torsion |
j |
-23599147758753366440242273216/46056688111954948899375 |
j-invariant |
L |
8.5012671949353 |
L(r)(E,1)/r! |
Ω |
0.04638366942686 |
Real period |
R |
22.910183974724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bs1 34080x1 |
Quadratic twists by: -4 -3 |