Atkin-Lehner |
2+ 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270c |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6016 |
Modular degree for the optimal curve |
Δ |
-217620 = -1 · 22 · 33 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -5 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] [2:-7:1] |
Generators of the group modulo torsion |
j |
13312053/8060 |
j-invariant |
L |
5.4275591771483 |
L(r)(E,1)/r! |
Ω |
1.9369939456512 |
Real period |
R |
0.70051318298328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36270bi1 |
Quadratic twists by: -3 |