Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bm |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.3668096E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13315536,-18781875264] |
[a1,a2,a3,a4,a6] |
Generators |
[44522694797953702955196040:-1150485253530617477537778228992:66677946258198527] |
Generators of the group modulo torsion |
j |
-63744065119669395144529/333693750000000000 |
j-invariant |
L |
6.7988409571648 |
L(r)(E,1)/r! |
Ω |
0.039504260236224 |
Real period |
R |
43.025998580195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bh1 |
Quadratic twists by: -4 |