Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958g |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-2197487514273792 = -1 · 211 · 3 · 13 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 4 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-500,2255184] |
[a1,a2,a3,a4,a6] |
Generators |
[493:10805:1] |
Generators of the group modulo torsion |
j |
-15625/2476032 |
j-invariant |
L |
3.0558927832527 |
L(r)(E,1)/r! |
Ω |
0.36842499358008 |
Real period |
R |
2.0736193499854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2418a1 |
Quadratic twists by: -31 |