Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640f |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-10457969599123200 = -1 · 28 · 32 · 52 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44004,-3418380] |
[a1,a2,a3,a4,a6] |
Generators |
[345:7260:1] |
Generators of the group modulo torsion |
j |
20777545136/23059575 |
j-invariant |
L |
5.6416082401905 |
L(r)(E,1)/r! |
Ω |
0.21916457209332 |
Real period |
R |
3.2176780338994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240q1 |
Quadratic twists by: -11 |