Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7245l |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-7020077421015421875 = -1 · 319 · 56 · 75 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -1 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,262518,116490087] |
[a1,a2,a3,a4,a6] |
Generators |
[377:16402:1] |
Generators of the group modulo torsion |
j |
2744564518708084736/9629735831296875 |
j-invariant |
L |
3.3975001491529 |
L(r)(E,1)/r! |
Ω |
0.16746931664947 |
Real period |
R |
0.84530413718117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920fa1 2415c1 36225bu1 50715k1 |
Quadratic twists by: -4 -3 5 -7 |