Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12320l |
Isogeny class |
Conductor |
12320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-3968296640 = -1 · 26 · 5 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-397,4296] |
[a1,a2,a3,a4,a6] |
Generators |
[20:66:1] |
Generators of the group modulo torsion |
j |
-108122295744/62004635 |
j-invariant |
L |
4.8703888491513 |
L(r)(E,1)/r! |
Ω |
1.2914004931126 |
Real period |
R |
1.2571335990465 |
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 |
12320f1 24640bj2 110880bg1 61600g1 |
Quadratic twists by: -4 8 -3 5 |