Atkin-Lehner |
3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75225s |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-123665675589675 = -1 · 310 · 52 · 175 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -3 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-748,534844] |
[a1,a2,a3,a4,a6] |
Generators |
[74:943:1] |
Generators of the group modulo torsion |
j |
-1853826027520/4946627023587 |
j-invariant |
L |
3.7986537046332 |
L(r)(E,1)/r! |
Ω |
0.472301825126 |
Real period |
R |
4.0214260305273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920464 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
75225h2 |
Quadratic twists by: 5 |