Atkin-Lehner |
2- 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bp |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
-2120922216306432 = -1 · 28 · 310 · 7 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-214790,38432661] |
[a1,a2,a3,a4,a6] |
Generators |
[257:-525:1] |
Generators of the group modulo torsion |
j |
-1503268171317753625/2909358321408 |
j-invariant |
L |
9.8578762831223 |
L(r)(E,1)/r! |
Ω |
0.46431373946788 |
Real period |
R |
0.6634708552895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094d1 |
Quadratic twists by: -3 |