Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640ch |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-130724619989040 = -1 · 24 · 32 · 5 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7825,-483888] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1336:1] |
Generators of the group modulo torsion |
j |
1869154304/4611915 |
j-invariant |
L |
6.2476451949984 |
L(r)(E,1)/r! |
Ω |
0.3021677439272 |
Real period |
R |
5.1690206208819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240h1 |
Quadratic twists by: -11 |