Atkin-Lehner |
2+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550n |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-285123913750 = -1 · 2 · 54 · 133 · 473 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11076,448448] |
[a1,a2,a3,a4,a6] |
Generators |
[62:1:1] [-242:7073:8] |
Generators of the group modulo torsion |
j |
-240400944615625/456198262 |
j-invariant |
L |
3.6892209070818 |
L(r)(E,1)/r! |
Ω |
0.97582687821746 |
Real period |
R |
1.2602033514463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30550p1 |
Quadratic twists by: 5 |