Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200j |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-308812500000000000 = -1 · 211 · 34 · 515 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -6 -1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-822408,-288032688] |
[a1,a2,a3,a4,a6] |
Generators |
[4362:281250:1] |
Generators of the group modulo torsion |
j |
-1922366726113538/9650390625 |
j-invariant |
L |
1.865886780669 |
L(r)(E,1)/r! |
Ω |
0.079244163644774 |
Real period |
R |
1.4716279208239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600k1 14640k1 |
Quadratic twists by: -4 5 |