Atkin-Lehner |
2- 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bp |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
391142238369858150 = 2 · 3 · 52 · 76 · 536 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-761461,253658789] |
[a1,a2,a3,a4,a6] |
Generators |
[-10429166:-77999049:10648] |
Generators of the group modulo torsion |
j |
415029055674864961/3324654169350 |
j-invariant |
L |
8.1432767555602 |
L(r)(E,1)/r! |
Ω |
0.3018347324233 |
Real period |
R |
13.489628399477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590u4 |
Quadratic twists by: -7 |