Atkin-Lehner |
3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675a |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-179920248046875 = -1 · 33 · 59 · 76 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,450,-645344] |
[a1,a2,a3,a4,a6] |
Generators |
[86:171:1] |
Generators of the group modulo torsion |
j |
23887872/426477625 |
j-invariant |
L |
4.3907849932096 |
L(r)(E,1)/r! |
Ω |
0.26286922200805 |
Real period |
R |
2.087913221481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675b2 9135b1 |
Quadratic twists by: -3 5 |