Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bc |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2315038668096 = -1 · 26 · 3 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,-73226] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1730:1] [2554:45375:8] |
Generators of the group modulo torsion |
j |
-3241792/307461 |
j-invariant |
L |
8.3411285440038 |
L(r)(E,1)/r! |
Ω |
0.36219351616834 |
Real period |
R |
23.029480567586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ea1 51744cm2 14784w1 |
Quadratic twists by: -4 8 -7 |