Atkin-Lehner |
2+ 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570n |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-647096683890720 = -1 · 25 · 3 · 5 · 72 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20863,-382059] |
[a1,a2,a3,a4,a6] |
Generators |
[1906355:30690262:12167] |
Generators of the group modulo torsion |
j |
20493936211043351/13206054773280 |
j-invariant |
L |
3.4576278670117 |
L(r)(E,1)/r! |
Ω |
0.29304998220356 |
Real period |
R |
11.798764978638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570x1 |
Quadratic twists by: -7 |