Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ed |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1468800000000 = 213 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -5 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112875,14596250] |
[a1,a2,a3,a4,a6] |
Generators |
[175:450:1] |
Generators of the group modulo torsion |
j |
3681571635/34 |
j-invariant |
L |
7.3287869697085 |
L(r)(E,1)/r! |
Ω |
0.76691601297431 |
Real period |
R |
0.79634827949696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bs1 61200el1 61200dv1 |
Quadratic twists by: -4 -3 5 |