Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
27412c |
Isogeny class |
Conductor |
27412 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1977799045376 = -1 · 28 · 72 · 116 · 89 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,980,-66952] |
[a1,a2,a3,a4,a6] |
Generators |
[38:154:1] |
Generators of the group modulo torsion |
j |
406180192304/7725777521 |
j-invariant |
L |
4.9326020156051 |
L(r)(E,1)/r! |
Ω |
0.40368097099124 |
Real period |
R |
0.33941833403554 |
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 |
109648g1 |
Quadratic twists by: -4 |