Atkin-Lehner |
2- 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104940bi |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
120965934347280 = 24 · 311 · 5 · 115 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297597,62484941] |
[a1,a2,a3,a4,a6] |
Generators |
[595:9801:1] |
Generators of the group modulo torsion |
j |
249897463392665344/10370879145 |
j-invariant |
L |
8.7595087859385 |
L(r)(E,1)/r! |
Ω |
0.55296724978276 |
Real period |
R |
0.26401529809862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34980c1 |
Quadratic twists by: -3 |