Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bg |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-498871577600 = -1 · 210 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,968,31944] |
[a1,a2,a3,a4,a6] |
Generators |
[374:7260:1] |
Generators of the group modulo torsion |
j |
55296/275 |
j-invariant |
L |
6.132578169792 |
L(r)(E,1)/r! |
Ω |
0.66903952777976 |
Real period |
R |
2.291560481539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720dc1 4840c1 3520i1 |
Quadratic twists by: -4 8 -11 |