Atkin-Lehner |
2- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68962j |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1159200 |
Modular degree for the optimal curve |
Δ |
-19033375520340128 = -1 · 25 · 299 · 41 |
Discriminant |
Eigenvalues |
2- -1 -2 5 -1 -5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-451214,-117036693] |
[a1,a2,a3,a4,a6] |
Generators |
[108543:6725857:27] |
Generators of the group modulo torsion |
j |
-17079827632777/31998368 |
j-invariant |
L |
7.1168518619004 |
L(r)(E,1)/r! |
Ω |
0.092092688617167 |
Real period |
R |
3.8639613900324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2378c1 |
Quadratic twists by: 29 |