Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900j |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186240 |
Modular degree for the optimal curve |
Δ |
-643500000000 = -1 · 28 · 32 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-234333,-43583463] |
[a1,a2,a3,a4,a6] |
Generators |
[3175224:112765125:2197] |
Generators of the group modulo torsion |
j |
-2846137769984/1287 |
j-invariant |
L |
4.1744978122207 |
L(r)(E,1)/r! |
Ω |
0.10849532613998 |
Real period |
R |
9.6190729147955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700bz1 42900bl1 |
Quadratic twists by: -3 5 |