Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7497k |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-4.5208300397374E+20 |
Discriminant |
Eigenvalues |
0 3- 1 7- -3 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1572018,686263338] |
[a1,a2,a3,a4,a6] |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
0.88331275617578 |
L(r)(E,1)/r! |
Ω |
0.11041409452197 |
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 |
119952gb1 2499j1 1071a1 127449y1 |
Quadratic twists by: -4 -3 -7 17 |