Atkin-Lehner |
3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30927c |
Isogeny class |
Conductor |
30927 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-75339822666771 = -1 · 39 · 137 · 61 |
Discriminant |
Eigenvalues |
0 3- -3 1 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10027,565660] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:760:1] |
Generators of the group modulo torsion |
j |
-23100424192/15608619 |
j-invariant |
L |
5.0107646954668 |
L(r)(E,1)/r! |
Ω |
0.56514899296115 |
Real period |
R |
0.24628533349785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92781k1 2379a1 |
Quadratic twists by: -3 13 |