Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34400t |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93120 |
Modular degree for the optimal curve |
Δ |
-68800000000 = -1 · 212 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 3 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60333,5683963] |
[a1,a2,a3,a4,a6] |
Generators |
[137:92:1] |
Generators of the group modulo torsion |
j |
-15180136960/43 |
j-invariant |
L |
4.2929904229288 |
L(r)(E,1)/r! |
Ω |
0.9542248829409 |
Real period |
R |
2.2494647224553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400o1 68800ea1 34400x1 |
Quadratic twists by: -4 8 5 |