Atkin-Lehner |
3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12045d |
Isogeny class |
Conductor |
12045 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
378000 |
Modular degree for the optimal curve |
Δ |
3.0873499567734E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4203361,-3208847084] |
[a1,a2,a3,a4,a6] |
j |
8213228143886864681795584/308734995677341600125 |
j-invariant |
L |
1.5852410761642 |
L(r)(E,1)/r! |
Ω |
0.10568273841095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36135g1 60225e1 |
Quadratic twists by: -3 5 |