Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800by |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-19148800 = -1 · 212 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 11- 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-208] |
[a1,a2,a3,a4,a6] |
Generators |
[28:144:1] |
Generators of the group modulo torsion |
j |
-625/187 |
j-invariant |
L |
8.0343480865431 |
L(r)(E,1)/r! |
Ω |
0.97168717067746 |
Real period |
R |
2.0671128345533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675a1 74800dp1 |
Quadratic twists by: -4 5 |