Atkin-Lehner |
2- 3- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954bc |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
868320 |
Modular degree for the optimal curve |
Δ |
53390889137240424 = 23 · 39 · 7 · 115 · 673 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2537262,1555342236] |
[a1,a2,a3,a4,a6] |
Generators |
[-1458:47160:1] |
Generators of the group modulo torsion |
j |
1806423890838142527256033/53390889137240424 |
j-invariant |
L |
8.4211652728718 |
L(r)(E,1)/r! |
Ω |
0.33006684004314 |
Real period |
R |
2.834834999471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92862y1 |
Quadratic twists by: -3 |