Atkin-Lehner |
2- 3+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498bh |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-164103342391296 = -1 · 217 · 35 · 72 · 113 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5370,-595197] |
[a1,a2,a3,a4,a6] |
Generators |
[81:575:1] |
Generators of the group modulo torsion |
j |
17125431168696479/164103342391296 |
j-invariant |
L |
8.7992740826138 |
L(r)(E,1)/r! |
Ω |
0.2836064516107 |
Real period |
R |
0.30417993835063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494r1 |
Quadratic twists by: -3 |