Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840p |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-22333918858444800 = -1 · 226 · 33 · 52 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7585,7197217] |
[a1,a2,a3,a4,a6] |
Generators |
[159:3160:1] |
Generators of the group modulo torsion |
j |
-184122897769/85197139200 |
j-invariant |
L |
5.2888477704226 |
L(r)(E,1)/r! |
Ω |
0.30910045213053 |
Real period |
R |
1.4258708168066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840cl1 2370d1 |
Quadratic twists by: -4 8 |