Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8880j |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-6544116814970880 = -1 · 221 · 32 · 5 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2936,-3891600] |
[a1,a2,a3,a4,a6] |
j |
-683565019129/1597684769280 |
j-invariant |
L |
1.5302938919748 |
L(r)(E,1)/r! |
Ω |
0.19128673649685 |
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 |
1110e1 35520da1 26640bo1 44400cq1 |
Quadratic twists by: -4 8 -3 5 |