Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350br |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-66122578125000 = -1 · 23 · 39 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102305,-12575303] |
[a1,a2,a3,a4,a6] |
Generators |
[1818065:915844:4913] |
Generators of the group modulo torsion |
j |
-616054275/344 |
j-invariant |
L |
7.9076149018396 |
L(r)(E,1)/r! |
Ω |
0.13346922246901 |
Real period |
R |
9.8744548937435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19350d1 19350h1 |
Quadratic twists by: -3 5 |