Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635b |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2332759078125 = 33 · 56 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36465,2688300] |
[a1,a2,a3,a4,a6] |
Generators |
[156:804:1] |
Generators of the group modulo torsion |
j |
1688134559643/734375 |
j-invariant |
L |
6.8561405583888 |
L(r)(E,1)/r! |
Ω |
0.80542720519487 |
Real period |
R |
2.1281068400596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999711319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635g2 2115b2 |
Quadratic twists by: -3 -7 |