Atkin-Lehner |
2- 3+ 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670t |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-127951875000 = -1 · 23 · 32 · 57 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 2 -3 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1370,-26593] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1651:1] |
Generators of the group modulo torsion |
j |
-284384044306081/127951875000 |
j-invariant |
L |
8.315147933967 |
L(r)(E,1)/r! |
Ω |
0.38401059665394 |
Real period |
R |
0.25777897073491 |
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 |
89010n1 |
Quadratic twists by: -3 |