Atkin-Lehner |
2+ 3+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650a |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-209207812500000 = -1 · 25 · 35 · 511 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-74375,7807125] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-385:1] |
Generators of the group modulo torsion |
j |
-2912015927948401/13389300000 |
j-invariant |
L |
2.1618213608908 |
L(r)(E,1)/r! |
Ω |
0.56547263354796 |
Real period |
R |
0.95575861326082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530ba1 |
Quadratic twists by: 5 |