Atkin-Lehner |
2+ 3+ 5- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150k |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
2348564625000000 = 26 · 37 · 59 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-400700,97434000] |
[a1,a2,a3,a4,a6] |
Generators |
[349:326:1] |
Generators of the group modulo torsion |
j |
3642951538133909/1202465088 |
j-invariant |
L |
3.311622865015 |
L(r)(E,1)/r! |
Ω |
0.45071228870604 |
Real period |
R |
3.673765856823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117150ci1 |
Quadratic twists by: 5 |