Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7260h |
Isogeny class |
Conductor |
7260 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
85680 |
Modular degree for the optimal curve |
Δ |
-19532449653750000 = -1 · 24 · 317 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-272950,-55206875] |
[a1,a2,a3,a4,a6] |
j |
-1161633816071508736/10089075234375 |
j-invariant |
L |
0.73067055892358 |
L(r)(E,1)/r! |
Ω |
0.10438150841765 |
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 |
29040dk1 116160dh1 21780k1 36300bm1 |
Quadratic twists by: -4 8 -3 5 |