Atkin-Lehner |
2- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20150k |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-362387769453125000 = -1 · 23 · 510 · 136 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-467513,126206031] |
[a1,a2,a3,a4,a6] |
Generators |
[429:1982:1] |
Generators of the group modulo torsion |
j |
-1157190346065625/37108507592 |
j-invariant |
L |
5.8089238640259 |
L(r)(E,1)/r! |
Ω |
0.30079778035585 |
Real period |
R |
1.6093103748842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20150h1 |
Quadratic twists by: 5 |