Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480ca |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
-7.0503238729728E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28464,403987860] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-20250:1] |
Generators of the group modulo torsion |
j |
622638969431471/17212704768000000 |
j-invariant |
L |
8.4540014256685 |
L(r)(E,1)/r! |
Ω |
0.15388883461497 |
Real period |
R |
1.5259935753334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810i1 |
Quadratic twists by: -4 |