Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gi |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
2459047926562500 = 22 · 3 · 58 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168463,-26576719] |
[a1,a2,a3,a4,a6] |
Generators |
[99886555600:-10566870973281:8998912] |
Generators of the group modulo torsion |
j |
838561807/3900 |
j-invariant |
L |
8.6751602532092 |
L(r)(E,1)/r! |
Ω |
0.23571919894939 |
Real period |
R |
18.401471528463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110z1 95550jw1 |
Quadratic twists by: 5 -7 |