Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bv |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
17831923200 = 29 · 37 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2580,-51120] |
[a1,a2,a3,a4,a6] |
Generators |
[-3445:1844:125] |
Generators of the group modulo torsion |
j |
1551349793665/14556672 |
j-invariant |
L |
4.1396435387454 |
L(r)(E,1)/r! |
Ω |
0.67022200511692 |
Real period |
R |
6.1765258360496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kx1 95550dc1 |
Quadratic twists by: 5 -7 |