Atkin-Lehner |
2+ 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282n |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1169039082036672 = -1 · 26 · 38 · 75 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18594,-1328940] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-2230:1] |
Generators of the group modulo torsion |
j |
975217588690463/1603620139968 |
j-invariant |
L |
4.7413068278812 |
L(r)(E,1)/r! |
Ω |
0.2567193792414 |
Real period |
R |
0.92344154965645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094bc1 |
Quadratic twists by: -3 |