Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bt |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-2155577446440000000 = -1 · 29 · 39 · 57 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,158218,-66394619] |
[a1,a2,a3,a4,a6] |
Generators |
[391:7229:1] |
Generators of the group modulo torsion |
j |
22253722294800933/109514680000000 |
j-invariant |
L |
8.2833157786821 |
L(r)(E,1)/r! |
Ω |
0.13112421894083 |
Real period |
R |
0.10027224863437 |
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 |
16830b1 84150k1 |
Quadratic twists by: -3 5 |