Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808bt |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-2105010135519984 = -1 · 24 · 39 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- -5 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42903,4070871] |
[a1,a2,a3,a4,a6] |
Generators |
[133:847:1] [-195:2241:1] |
Generators of the group modulo torsion |
j |
-80850237696/19487171 |
j-invariant |
L |
8.3900673066699 |
L(r)(E,1)/r! |
Ω |
0.4424625207798 |
Real period |
R |
0.33861089570299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616j1 38808d1 38808bs1 |
Quadratic twists by: -4 -3 -7 |