Atkin-Lehner |
2+ 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bc |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-324262047656250 = -1 · 2 · 312 · 58 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17174,-9202] |
[a1,a2,a3,a4,a6] |
Generators |
[10166:359263:8] |
Generators of the group modulo torsion |
j |
1434215474375/830110842 |
j-invariant |
L |
7.0233911201775 |
L(r)(E,1)/r! |
Ω |
0.32339113094212 |
Real period |
R |
5.4294864679229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061212 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
117150bi1 |
Quadratic twists by: 5 |