Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bb |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
16066649810641920 = 210 · 3 · 5 · 711 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-269379,53444542] |
[a1,a2,a3,a4,a6] |
Generators |
[44754:529745:216] |
Generators of the group modulo torsion |
j |
18374873741826841/136564270080 |
j-invariant |
L |
5.1360914898556 |
L(r)(E,1)/r! |
Ω |
0.39387463028977 |
Real period |
R |
3.2599786168491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430fh1 4830f1 |
Quadratic twists by: -3 -7 |