Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10010d |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
6166160 = 24 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8030,278980] |
[a1,a2,a3,a4,a6] |
Generators |
[61:85:1] |
Generators of the group modulo torsion |
j |
57266517014673849/6166160 |
j-invariant |
L |
3.013046075099 |
L(r)(E,1)/r! |
Ω |
1.8422858498558 |
Real period |
R |
0.81774662583847 |
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 |
80080t1 90090dq1 50050bp1 70070x1 |
Quadratic twists by: -4 -3 5 -7 |