Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804c |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
-2.3746561453048E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10413153,-26772797106] |
[a1,a2,a3,a4,a6] |
Generators |
[10520802859172846870800433128237669582145660:-451666735171487454716339857723004578291227863:2104708515938934352905278314970145947584] |
Generators of the group modulo torsion |
j |
-66337985583376384000/126151526219132547 |
j-invariant |
L |
4.7860055919252 |
L(r)(E,1)/r! |
Ω |
0.03955888230482 |
Real period |
R |
60.492174109561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6972c1 |
Quadratic twists by: -7 |