Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300bb |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-6773773230000 = -1 · 24 · 38 · 54 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 5 -1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62433,6026562] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-567:1] |
Generators of the group modulo torsion |
j |
-2691369212723200/677377323 |
j-invariant |
L |
5.6656554582702 |
L(r)(E,1)/r! |
Ω |
0.73041141693221 |
Real period |
R |
0.32320000952167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300bc1 |
Quadratic twists by: 5 |