Atkin-Lehner |
2+ 3- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130o |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-732810937500 = -1 · 22 · 32 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17078,858548] |
[a1,a2,a3,a4,a6] |
Generators |
[99:325:1] |
Generators of the group modulo torsion |
j |
-550805392667142361/732810937500 |
j-invariant |
L |
3.7315013656549 |
L(r)(E,1)/r! |
Ω |
0.89930813739233 |
Real period |
R |
0.25933139672197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bh1 |
Quadratic twists by: -3 |