Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025h |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
114075 = 33 · 52 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -1 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
1755 |
j-invariant |
L |
6.947021170898 |
L(r)(E,1)/r! |
Ω |
2.7635314371502 |
Real period |
R |
1.2569101037727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38025k1 38025x1 38025m1 |
Quadratic twists by: -3 5 13 |