Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jq |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-4.9050061518544E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4922458,4215440963] |
[a1,a2,a3,a4,a6] |
Generators |
[1283:3675:1] |
Generators of the group modulo torsion |
j |
-17939139239680/66706983 |
j-invariant |
L |
7.7393466074755 |
L(r)(E,1)/r! |
Ω |
0.20167836913236 |
Real period |
R |
1.5989457704212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700q1 58800fk1 8400bs1 |
Quadratic twists by: -4 5 -7 |