Atkin-Lehner |
2- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101332d |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-10714880875440896 = -1 · 28 · 76 · 115 · 472 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11+ 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30315,-4557167] |
[a1,a2,a3,a4,a6] |
Generators |
[1363:50666:1] |
Generators of the group modulo torsion |
j |
102294880256/355761659 |
j-invariant |
L |
6.1872652113792 |
L(r)(E,1)/r! |
Ω |
0.20645555957734 |
Real period |
R |
2.4974160839363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2068b1 |
Quadratic twists by: -7 |