Atkin-Lehner |
3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63825j |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
84240 |
Modular degree for the optimal curve |
Δ |
-3743992434825 = -1 · 35 · 52 · 233 · 373 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3681,-127007] |
[a1,a2,a3,a4,a6] |
j |
-220552276355185/149759697393 |
j-invariant |
L |
1.48742047159 |
L(r)(E,1)/r! |
Ω |
0.29748409478005 |
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 |
63825h1 |
Quadratic twists by: 5 |