Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240t |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-26327980800 = -1 · 28 · 39 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,7396] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] [2:-90:1] |
Generators of the group modulo torsion |
j |
24974336/141075 |
j-invariant |
L |
10.709513425308 |
L(r)(E,1)/r! |
Ω |
0.8586965086724 |
Real period |
R |
0.3897445618561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25080s1 |
Quadratic twists by: -3 |