Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ec |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4075804687500000 = 25 · 32 · 512 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-262876,51763898] |
[a1,a2,a3,a4,a6] |
Generators |
[172:3326:1] |
Generators of the group modulo torsion |
j |
374852148636727/760500000 |
j-invariant |
L |
4.3143706416595 |
L(r)(E,1)/r! |
Ω |
0.43986927700184 |
Real period |
R |
1.2260377273838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110ch2 95550bs2 |
Quadratic twists by: 5 -7 |