Atkin-Lehner |
3+ 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225b |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1492496180859375 = -1 · 33 · 58 · 29 · 474 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8213,-1884094] |
[a1,a2,a3,a4,a6] |
j |
-3921141001609/95519755575 |
j-invariant |
L |
0.41362498563268 |
L(r)(E,1)/r! |
Ω |
0.20681252053617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445e1 |
Quadratic twists by: 5 |