Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ba |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-62889750000 = -1 · 24 · 33 · 56 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5908,177187] |
[a1,a2,a3,a4,a6] |
Generators |
[51:77:1] |
Generators of the group modulo torsion |
j |
-91238612224/251559 |
j-invariant |
L |
5.9923998893243 |
L(r)(E,1)/r! |
Ω |
1.1094446481626 |
Real period |
R |
1.8004202678643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200cn1 3696l1 |
Quadratic twists by: -4 5 |