Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248v |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
-48134316968878336 = -1 · 28 · 74 · 238 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 2 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3451372,2466819144] |
[a1,a2,a3,a4,a6] |
Generators |
[8602:1813:8] |
Generators of the group modulo torsion |
j |
-226796578768/2401 |
j-invariant |
L |
2.8253506403083 |
L(r)(E,1)/r! |
Ω |
0.32372879414677 |
Real period |
R |
4.3637617216476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14812d1 59248be1 |
Quadratic twists by: -4 -23 |