Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256m |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2432640 |
Modular degree for the optimal curve |
Δ |
-93395391366531072 = -1 · 211 · 3 · 77 · 13 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16155088,-24987258464] |
[a1,a2,a3,a4,a6] |
Generators |
[6612:396508:1] |
Generators of the group modulo torsion |
j |
-227678368591068514969250/45603218440689 |
j-invariant |
L |
6.0552417353145 |
L(r)(E,1)/r! |
Ω |
0.037652361486894 |
Real period |
R |
1.1487121916387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128ba1 |
Quadratic twists by: -4 |