Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525cc |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
38844935005078125 = 36 · 58 · 7 · 117 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11- -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-131083,-15656756] |
[a1,a2,a3,a4,a6] |
Generators |
[458:-4538:1] [-226:1573:1] |
Generators of the group modulo torsion |
j |
359956480/56133 |
j-invariant |
L |
9.7166233988322 |
L(r)(E,1)/r! |
Ω |
0.25354199071958 |
Real period |
R |
0.53227121227068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525o1 5775y1 |
Quadratic twists by: 5 -11 |