Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450bz |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-2.0191324462207E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13- 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4027588,-3120292969] |
[a1,a2,a3,a4,a6] |
Generators |
[6325127891450:80139078148641:2639514968] |
Generators of the group modulo torsion |
j |
-462422340525417209209/1292244765581250 |
j-invariant |
L |
8.1431302512526 |
L(r)(E,1)/r! |
Ω |
0.053276490526696 |
Real period |
R |
19.105824564336 |
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 |
12090i1 |
Quadratic twists by: 5 |