Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960cb |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-688699650598502400 = -1 · 218 · 33 · 52 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115443,-42686542] |
[a1,a2,a3,a4,a6] |
Generators |
[649:12480:1] |
Generators of the group modulo torsion |
j |
-1538518817843307/6227391227200 |
j-invariant |
L |
3.7319507740619 |
L(r)(E,1)/r! |
Ω |
0.11810725107909 |
Real period |
R |
1.316582574365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870c1 102960cr3 |
Quadratic twists by: -4 -3 |