Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080x |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-2.9476280391651E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239029146,-1424725490304] |
[a1,a2,a3,a4,a6] |
Generators |
[10829748599349502241887070638:-928996975193624529271738744436:502939184441079331477511] |
Generators of the group modulo torsion |
j |
-23599147758753366440242273216/46056688111954948899375 |
j-invariant |
L |
5.0122954657875 |
L(r)(E,1)/r! |
Ω |
0.0191957927255 |
Real period |
R |
43.519045531343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34080p1 68160bl1 102240n1 |
Quadratic twists by: -4 8 -3 |