Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600s |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5933732519531250000 = 24 · 311 · 514 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6298050,6082423625] |
[a1,a2,a3,a4,a6] |
Generators |
[-1660:109375:1] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
4.6449582573053 |
L(r)(E,1)/r! |
Ω |
0.23287959255562 |
Real period |
R |
1.6621458777372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200w1 100800en1 4200r1 2520q1 |
Quadratic twists by: -4 8 -3 5 |