Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30276j |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
201202557268176 = 24 · 36 · 297 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70644,-7194755] |
[a1,a2,a3,a4,a6] |
Generators |
[16895497150:219291315993:42875000] |
Generators of the group modulo torsion |
j |
5619712/29 |
j-invariant |
L |
7.4482220949089 |
L(r)(E,1)/r! |
Ω |
0.29293120883646 |
Real period |
R |
12.713261459053 |
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 |
121104by1 3364b1 1044h1 |
Quadratic twists by: -4 -3 29 |