Atkin-Lehner |
2+ 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210h |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
6070688400 = 24 · 3 · 52 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3357,73389] |
[a1,a2,a3,a4,a6] |
Generators |
[38:31:1] |
Generators of the group modulo torsion |
j |
35578826569/51600 |
j-invariant |
L |
4.1675528445665 |
L(r)(E,1)/r! |
Ω |
1.3419552502099 |
Real period |
R |
1.5527912886157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290d1 |
Quadratic twists by: -7 |