Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808l |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-4.0612885880646E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,358533,295268463] |
[a1,a2,a3,a4,a6] |
Generators |
[3199:184877:1] |
Generators of the group modulo torsion |
j |
137566156032/1096135733 |
j-invariant |
L |
6.5554762235898 |
L(r)(E,1)/r! |
Ω |
0.14889726848114 |
Real period |
R |
0.9172258344154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616g1 38808bn1 5544d1 |
Quadratic twists by: -4 -3 -7 |