Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960t |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
567988621148160000 = 230 · 39 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315603,-57813102] |
[a1,a2,a3,a4,a6] |
Generators |
[-31005:285282:125] |
Generators of the group modulo torsion |
j |
43121696645763/7045120000 |
j-invariant |
L |
5.6539592069933 |
L(r)(E,1)/r! |
Ω |
0.20365549205805 |
Real period |
R |
6.9405926030482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870a1 123840ea1 30960z1 |
Quadratic twists by: -4 8 -3 |