Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328t |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-4927659657984 = -1 · 28 · 32 · 79 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1111,-105477] |
[a1,a2,a3,a4,a6] |
Generators |
[51:294:1] |
Generators of the group modulo torsion |
j |
5030912/163611 |
j-invariant |
L |
9.7900135226025 |
L(r)(E,1)/r! |
Ω |
0.37052849291654 |
Real period |
R |
1.6513597654307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656j1 8904a1 |
Quadratic twists by: -4 -7 |