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 |
Δ |
1028513636718750000 = 24 · 310 · 512 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-304875,-42757875] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:4840:1] |
Generators of the group modulo torsion |
j |
584759426925367/191909250000 |
j-invariant |
L |
3.7575032364909 |
L(r)(E,1)/r! |
Ω |
0.20850108009854 |
Real period |
R |
2.2526881063541 |
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 |
19110dd2 95550dy2 |
Quadratic twists by: 5 -7 |