Atkin-Lehner |
3+ 7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28329a |
Isogeny class |
Conductor |
28329 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
4526408554857 = 39 · 74 · 19 · 712 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6631,178144] |
[a1,a2,a3,a4,a6] |
Generators |
[-738:1363:8] |
Generators of the group modulo torsion |
j |
32252480929090297/4526408554857 |
j-invariant |
L |
4.0505393205251 |
L(r)(E,1)/r! |
Ω |
0.74415789739664 |
Real period |
R |
2.7215590499647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84987o1 |
Quadratic twists by: -3 |