Atkin-Lehner |
5- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123025o |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1489152 |
Modular degree for the optimal curve |
Δ |
18328494547523125 = 54 · 77 · 19 · 374 |
Discriminant |
Eigenvalues |
1 -3 5- 7- 3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69217,2606116] |
[a1,a2,a3,a4,a6] |
Generators |
[320:3466:1] |
Generators of the group modulo torsion |
j |
58679383272456825/29325591276037 |
j-invariant |
L |
5.0140763972585 |
L(r)(E,1)/r! |
Ω |
0.3431960491929 |
Real period |
R |
0.52178384988307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123025b1 |
Quadratic twists by: 5 |