Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800co |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-140541540750000 = -1 · 24 · 39 · 56 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37800,-2885625] |
[a1,a2,a3,a4,a6] |
Generators |
[36267550:573861925:97336] |
Generators of the group modulo torsion |
j |
-1213857792/28561 |
j-invariant |
L |
7.0496235057634 |
L(r)(E,1)/r! |
Ω |
0.17095918062216 |
Real period |
R |
10.308927955927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11700e1 46800cn1 1872m1 |
Quadratic twists by: -4 -3 5 |