Atkin-Lehner |
3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
22575h |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58560 |
Modular degree for the optimal curve |
Δ |
-1666669921875 = -1 · 34 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 5 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,62193] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:1445:8] |
Generators of the group modulo torsion |
j |
-102400/170667 |
j-invariant |
L |
9.5853370937361 |
L(r)(E,1)/r! |
Ω |
0.67753757981804 |
Real period |
R |
3.5368285757339 |
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 |
67725bb1 22575r1 |
Quadratic twists by: -3 5 |