Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ds |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2496960000000 = -1 · 212 · 33 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6675,223250] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-136:1] |
Generators of the group modulo torsion |
j |
-19034163/1445 |
j-invariant |
L |
7.5550112489051 |
L(r)(E,1)/r! |
Ω |
0.79846773709118 |
Real period |
R |
1.182735835443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3825c1 61200dg1 12240bj1 |
Quadratic twists by: -4 -3 5 |