Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800cs |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-11544135680000 = -1 · 214 · 54 · 7 · 115 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8008,323312] |
[a1,a2,a3,a4,a6] |
j |
-22187592025/4509428 |
j-invariant |
L |
1.3722950620967 |
L(r)(E,1)/r! |
Ω |
0.68614753105021 |
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 |
3850k1 123200hq1 30800ba2 |
Quadratic twists by: -4 8 5 |