Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bo |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-30310222521713904 = -1 · 24 · 33 · 77 · 115 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239734,46029547] |
[a1,a2,a3,a4,a6] |
j |
-95234528549165677312/1894388907607119 |
j-invariant |
L |
3.7178952085297 |
L(r)(E,1)/r! |
Ω |
0.37178952862161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21252l1 |
Quadratic twists by: -4 |