Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810by |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
106433307962730000 = 24 · 35 · 54 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1063413411,13347099434289] |
[a1,a2,a3,a4,a6] |
Generators |
[14328172476233:-7182823172640:761048497] |
Generators of the group modulo torsion |
j |
2826887369998878529467769/2262330000 |
j-invariant |
L |
8.4186991854959 |
L(r)(E,1)/r! |
Ω |
0.14626599787353 |
Real period |
R |
14.389364767564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994301 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990j1 |
Quadratic twists by: -19 |