Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bt |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-95115680000000000 = -1 · 214 · 510 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90208,-18166412] |
[a1,a2,a3,a4,a6] |
Generators |
[119345436:2305138154:205379] |
Generators of the group modulo torsion |
j |
-2029568425/2377892 |
j-invariant |
L |
6.8110834363349 |
L(r)(E,1)/r! |
Ω |
0.13179056876428 |
Real period |
R |
12.9202785514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350s1 74800dh1 |
Quadratic twists by: -4 5 |