Atkin-Lehner |
5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41515d |
Isogeny class |
Conductor |
41515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-3381422696875 = -1 · 55 · 196 · 23 |
Discriminant |
Eigenvalues |
-2 0 5+ 1 2 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2527,73734] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2346:1] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
2.6026081826326 |
L(r)(E,1)/r! |
Ω |
0.54642863491318 |
Real period |
R |
2.3814712629803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115a1 |
Quadratic twists by: -19 |