Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224i |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
2523639888 = 24 · 34 · 7 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-407,2178] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:4455:64] |
Generators of the group modulo torsion |
j |
467147020288/157727493 |
j-invariant |
L |
6.5573553415676 |
L(r)(E,1)/r! |
Ω |
1.330775357862 |
Real period |
R |
4.9274697654182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112g1 |
Quadratic twists by: -4 |