Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dj |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46448640 |
Modular degree for the optimal curve |
Δ |
-3.0784595801124E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,50647592,-2665878172688] |
[a1,a2,a3,a4,a6] |
Generators |
[32203400753854136720373506208637276:-13757751673765242391994479973391925248:176635642912511201850339091637] |
Generators of the group modulo torsion |
j |
224501959288069776431/48100930939256832000 |
j-invariant |
L |
4.3046742665768 |
L(r)(E,1)/r! |
Ω |
0.021177339662484 |
Real period |
R |
50.816985811881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999766057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bi1 21840bx1 |
Quadratic twists by: -4 5 |