Atkin-Lehner |
2- 5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30740a |
Isogeny class |
Conductor |
30740 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1061743123360000 = -1 · 28 · 54 · 292 · 534 |
Discriminant |
Eigenvalues |
2- 2 5- -4 -2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23820,2119832] |
[a1,a2,a3,a4,a6] |
Generators |
[74:870:1] |
Generators of the group modulo torsion |
j |
-5838849087122896/4147434075625 |
j-invariant |
L |
7.0794293910482 |
L(r)(E,1)/r! |
Ω |
0.45257516739214 |
Real period |
R |
1.3035457792646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122960p2 |
Quadratic twists by: -4 |