Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054h |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
41999787467882496 = 214 · 312 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22240929,40362476085] |
[a1,a2,a3,a4,a6] |
Generators |
[42177225:-53576862:15625] |
Generators of the group modulo torsion |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
3.4749216143633 |
L(r)(E,1)/r! |
Ω |
0.26653802594721 |
Real period |
R |
6.518622628074 |
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 |
96432cy1 36162cp1 246c1 |
Quadratic twists by: -4 -3 -7 |