Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928bp |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
810327379968 = 212 · 39 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-814179,282766498] |
[a1,a2,a3,a4,a6] |
Generators |
[671:6210:1] |
Generators of the group modulo torsion |
j |
19989223566735457/271377 |
j-invariant |
L |
7.0753539882343 |
L(r)(E,1)/r! |
Ω |
0.63295666258176 |
Real period |
R |
1.3972824694131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3933a1 20976j1 |
Quadratic twists by: -4 -3 |