Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900q |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
97044480 |
Modular degree for the optimal curve |
Δ |
6.5514614358705E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-473625133,-757750377863] |
[a1,a2,a3,a4,a6] |
Generators |
[-6048:1373125:1] |
Generators of the group modulo torsion |
j |
2937432816533527188545536/1637865358967637028125 |
j-invariant |
L |
4.9085913434772 |
L(r)(E,1)/r! |
Ω |
0.034731975503349 |
Real period |
R |
1.308590112914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180h1 |
Quadratic twists by: 5 |