Atkin-Lehner |
3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893b |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
1195093731897 = 33 · 13 · 237 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10415,-403090] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:85:1] |
Generators of the group modulo torsion |
j |
31255875/299 |
j-invariant |
L |
2.9574053720229 |
L(r)(E,1)/r! |
Ω |
0.47286676394644 |
Real period |
R |
3.127102175032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61893a1 2691b1 |
Quadratic twists by: -3 -23 |