Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786m |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39029760 |
Modular degree for the optimal curve |
Δ |
-1.0506223599306E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ -3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-237776641,1419734594293] |
[a1,a2,a3,a4,a6] |
Generators |
[85953650:8198732231:15625] |
Generators of the group modulo torsion |
j |
-12636972422351146006413193/89301427120553066496 |
j-invariant |
L |
5.6557062042477 |
L(r)(E,1)/r! |
Ω |
0.072572948413011 |
Real period |
R |
6.4942773004004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13398k1 |
Quadratic twists by: -7 |