Atkin-Lehner |
2+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314l |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-126844883556608 = -1 · 28 · 72 · 17 · 296 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- -1 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124563,-16940178] |
[a1,a2,a3,a4,a6] |
Generators |
[1374813:40480560:1331] |
Generators of the group modulo torsion |
j |
-4362041550700835449/2588671092992 |
j-invariant |
L |
2.7845478209546 |
L(r)(E,1)/r! |
Ω |
0.12705953266169 |
Real period |
R |
5.4788250882056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314b1 |
Quadratic twists by: -7 |