Atkin-Lehner |
2+ 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320f |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50304 |
Modular degree for the optimal curve |
Δ |
-39884800 = -1 · 211 · 52 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 1 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2440,45588] |
[a1,a2,a3,a4,a6] |
Generators |
[26:20:1] |
Generators of the group modulo torsion |
j |
-784767874322/19475 |
j-invariant |
L |
3.268450657771 |
L(r)(E,1)/r! |
Ω |
1.8931593825463 |
Real period |
R |
0.2158066225301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31160g1 |
Quadratic twists by: -4 |