Atkin-Lehner |
3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
58065s |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2478085005375 = -1 · 33 · 53 · 76 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2155,65400] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-380:1] [-15:180:1] |
Generators of the group modulo torsion |
j |
9407293631/21063375 |
j-invariant |
L |
7.8081863204308 |
L(r)(E,1)/r! |
Ω |
0.56579133946321 |
Real period |
R |
1.5333855386504 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1185a1 |
Quadratic twists by: -7 |