Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8214a |
Isogeny class |
Conductor |
8214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60192 |
Modular degree for the optimal curve |
Δ |
-33633794476959102 = -1 · 2 · 311 · 377 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 1 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23245,8727219] |
[a1,a2,a3,a4,a6] |
Generators |
[1273:45225:1] |
Generators of the group modulo torsion |
j |
541343375/13108878 |
j-invariant |
L |
3.0314930275362 |
L(r)(E,1)/r! |
Ω |
0.27632310470089 |
Real period |
R |
2.7427067950196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712z1 24642p1 222b1 |
Quadratic twists by: -4 -3 37 |