Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720q |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
696 |
Product of Tamagawa factors cp |
deg |
18708480 |
Modular degree for the optimal curve |
Δ |
-6.7231415752677E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360105416,2659523180820] |
[a1,a2,a3,a4,a6] |
Generators |
[8602:-445500:1] |
Generators of the group modulo torsion |
j |
-2521637885151884700928772498/32827839722986926234375 |
j-invariant |
L |
7.5759604499322 |
L(r)(E,1)/r! |
Ω |
0.062053449678056 |
Real period |
R |
0.17541330421843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30360c1 |
Quadratic twists by: -4 |