Atkin-Lehner |
2+ 3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650m |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-5427075492000000 = -1 · 28 · 313 · 56 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -4 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7675,3538125] |
[a1,a2,a3,a4,a6] |
Generators |
[250:4475:1] |
Generators of the group modulo torsion |
j |
3199266515375/347332831488 |
j-invariant |
L |
3.869738122789 |
L(r)(E,1)/r! |
Ω |
0.32915399063219 |
Real period |
R |
2.9391547290122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000233167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5106e1 |
Quadratic twists by: 5 |