Atkin-Lehner |
2+ 3+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130g |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
137340916761600 = 210 · 34 · 52 · 312 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-117957,15533901] |
[a1,a2,a3,a4,a6] |
Generators |
[170:-741:1] |
Generators of the group modulo torsion |
j |
181510026739287646681/137340916761600 |
j-invariant |
L |
3.5006776775598 |
L(r)(E,1)/r! |
Ω |
0.57787759903405 |
Real period |
R |
0.50481821805229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390x1 |
Quadratic twists by: -3 |