Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38350bd |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-2036138823680000 = -1 · 215 · 54 · 134 · 592 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -3 13- 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9362,2146731] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-1545:1] |
Generators of the group modulo torsion |
j |
145193343359375/3257822117888 |
j-invariant |
L |
7.4590682129741 |
L(r)(E,1)/r! |
Ω |
0.34854111776768 |
Real period |
R |
0.17834022617731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350d1 |
Quadratic twists by: 5 |