Atkin-Lehner |
2+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070r |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
147726484505600 = 210 · 52 · 79 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47458,-3940044] |
[a1,a2,a3,a4,a6] |
Generators |
[1901:81369:1] |
Generators of the group modulo torsion |
j |
100473287628169/1255654400 |
j-invariant |
L |
3.2058758474728 |
L(r)(E,1)/r! |
Ω |
0.32370659919493 |
Real period |
R |
2.4759117171575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010b1 |
Quadratic twists by: -7 |