Atkin-Lehner |
3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605a |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1748736 |
Modular degree for the optimal curve |
Δ |
-2199412551712921875 = -1 · 34 · 56 · 1110 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 0 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,94862,70500643] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:2413:1] [-682:63233:8] |
Generators of the group modulo torsion |
j |
3639707951/84796875 |
j-invariant |
L |
12.025756778756 |
L(r)(E,1)/r! |
Ω |
0.19489041439941 |
Real period |
R |
15.426306125802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121605b1 |
Quadratic twists by: -11 |