Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600b |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-847000000 = -1 · 26 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125,1500] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:44:1] |
Generators of the group modulo torsion |
j |
-216000/847 |
j-invariant |
L |
4.8652013292688 |
L(r)(E,1)/r! |
Ω |
1.3822261853207 |
Real period |
R |
1.7599150488532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600bo1 123200m1 2464l1 |
Quadratic twists by: -4 8 5 |