Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720by |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2861568 |
Modular degree for the optimal curve |
Δ |
-6.6796102516391E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6733365,-6734304963] |
[a1,a2,a3,a4,a6] |
Generators |
[645420:38755827:125] |
Generators of the group modulo torsion |
j |
-8242525516078490484736/16307642215915875 |
j-invariant |
L |
5.9384536171463 |
L(r)(E,1)/r! |
Ω |
0.046855440408677 |
Real period |
R |
5.2808289760487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3795i1 |
Quadratic twists by: -4 |