Atkin-Lehner |
5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
70225i |
Isogeny class |
Conductor |
70225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
458871538998828125 = 58 · 537 |
Discriminant |
Eigenvalues |
0 -2 5- 1 -1 -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-936333,346895244] |
[a1,a2,a3,a4,a6] |
Generators |
[512:1404:1] [622:2350:1] |
Generators of the group modulo torsion |
j |
10485760/53 |
j-invariant |
L |
5.7378604097324 |
L(r)(E,1)/r! |
Ω |
0.29788597797306 |
Real period |
R |
4.8154838042265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70225a1 1325f1 |
Quadratic twists by: 5 53 |