Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bq |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-94119200000000 = -1 · 211 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -1 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6125,-428750] |
[a1,a2,a3,a4,a6] |
Generators |
[175:2450:1] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
2.3959641755472 |
L(r)(E,1)/r! |
Ω |
0.30562595468504 |
Real period |
R |
0.65329425801341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800v1 78400lc1 19600bb1 400g1 |
Quadratic twists by: -4 8 5 -7 |