Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304id |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1042170607296 = 26 · 32 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1004712,-387958950] |
[a1,a2,a3,a4,a6] |
Generators |
[16466907856180350:400726017021965635:11272572695448] |
Generators of the group modulo torsion |
j |
14896378491692608/138411 |
j-invariant |
L |
10.857450318457 |
L(r)(E,1)/r! |
Ω |
0.15079575691789 |
Real period |
R |
24.000344322768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gb1 61152bf2 17472ce1 |
Quadratic twists by: -4 8 -7 |