Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200br |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-113100800000000 = -1 · 217 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 -5 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2764833,1768582463] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:11233:1] |
Generators of the group modulo torsion |
j |
-45652085444690/2209 |
j-invariant |
L |
7.2307286624235 |
L(r)(E,1)/r! |
Ω |
0.44258686487917 |
Real period |
R |
4.0843556581384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200dg1 9400d1 75200c1 |
Quadratic twists by: -4 8 5 |