Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550bq |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
7042990500000000 = 28 · 35 · 59 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122875,16028125] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:5800:1] |
Generators of the group modulo torsion |
j |
38282975119927/1314144000 |
j-invariant |
L |
3.7575032364909 |
L(r)(E,1)/r! |
Ω |
0.41700216019708 |
Real period |
R |
1.126344053177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110dd1 95550dy1 |
Quadratic twists by: 5 -7 |