Atkin-Lehner |
2- 3- 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510be |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
726528 |
Modular degree for the optimal curve |
Δ |
-1218211488000000 = -1 · 211 · 37 · 56 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34637,3004661] |
[a1,a2,a3,a4,a6] |
Generators |
[831:22984:1] [-209:1144:1] |
Generators of the group modulo torsion |
j |
-6303840814852489/1671072000000 |
j-invariant |
L |
16.598238599255 |
L(r)(E,1)/r! |
Ω |
0.46179062029572 |
Real period |
R |
0.068074266930818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170h1 |
Quadratic twists by: -3 |