Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275f |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-2233720641796875 = -1 · 39 · 58 · 74 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11+ -1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-297675,-62553094] |
[a1,a2,a3,a4,a6] |
Generators |
[645:3712:1] |
Generators of the group modulo torsion |
j |
-3950456832/3025 |
j-invariant |
L |
1.9708023610584 |
L(r)(E,1)/r! |
Ω |
0.10219132374313 |
Real period |
R |
2.4106773331138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994862537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275k1 24255n1 121275x1 |
Quadratic twists by: -3 5 -7 |