Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63945d |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-18980693764515 = -1 · 33 · 5 · 78 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -3 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-119952,-15991775] |
[a1,a2,a3,a4,a6] |
j |
-60088890949632/5975305 |
j-invariant |
L |
1.5392045628216 |
L(r)(E,1)/r! |
Ω |
0.12826704646679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63945a2 9135a1 |
Quadratic twists by: -3 -7 |