Atkin-Lehner |
2+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30856a |
Isogeny class |
Conductor |
30856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1261227398144 = -1 · 210 · 76 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ -1 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1384,-58016] |
[a1,a2,a3,a4,a6] |
Generators |
[3300:6517:64] |
Generators of the group modulo torsion |
j |
-286513958308/1231667381 |
j-invariant |
L |
7.8799573343664 |
L(r)(E,1)/r! |
Ω |
0.35589781261099 |
Real period |
R |
2.7676333820923 |
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 |
61712d1 |
Quadratic twists by: -4 |