Atkin-Lehner |
3- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92463g |
Isogeny class |
Conductor |
92463 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.5912081202084E+23 |
Discriminant |
Eigenvalues |
0 3- 3 7- 3 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5744629,-19912231790] |
[a1,a2,a3,a4,a6] |
Generators |
[27610:297377:8] |
Generators of the group modulo torsion |
j |
-178205665316766220288/1352504585851453251 |
j-invariant |
L |
8.6863099822925 |
L(r)(E,1)/r! |
Ω |
0.043081695417498 |
Real period |
R |
4.2005030093824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209d1 |
Quadratic twists by: -7 |