Atkin-Lehner |
2- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300n |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
249120 |
Modular degree for the optimal curve |
Δ |
-2744973043750000 = -1 · 24 · 58 · 7 · 894 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25625,-2974375] |
[a1,a2,a3,a4,a6] |
Generators |
[3400:198025:1] |
Generators of the group modulo torsion |
j |
-297738720000/439195687 |
j-invariant |
L |
4.9266367593924 |
L(r)(E,1)/r! |
Ω |
0.17920598693453 |
Real period |
R |
1.527304119993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300g1 |
Quadratic twists by: 5 |