Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070v |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-1971360 = -1 · 25 · 32 · 5 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10,-73] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3:1] |
Generators of the group modulo torsion |
j |
-81289/1440 |
j-invariant |
L |
8.4022860379648 |
L(r)(E,1)/r! |
Ω |
1.128823246268 |
Real period |
R |
0.74434027344361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210w1 41070a1 |
Quadratic twists by: -3 37 |