Atkin-Lehner |
3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22575j |
Isogeny class |
Conductor |
22575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
28571484375 = 35 · 58 · 7 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 3 6 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3325,-74750] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:38:1] |
Generators of the group modulo torsion |
j |
10412204665/73143 |
j-invariant |
L |
5.7093917638853 |
L(r)(E,1)/r! |
Ω |
0.62895345066866 |
Real period |
R |
3.0258687442425 |
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 |
67725bh1 22575l1 |
Quadratic twists by: -3 5 |