Atkin-Lehner |
2+ 3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464a |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
-216255578692608 = -1 · 210 · 38 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36128,2748240] |
[a1,a2,a3,a4,a6] |
Generators |
[104:-324:1] |
Generators of the group modulo torsion |
j |
-5092928007866500/211187088567 |
j-invariant |
L |
6.3509151580273 |
L(r)(E,1)/r! |
Ω |
0.55643501240129 |
Real period |
R |
1.426697417004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50232l1 |
Quadratic twists by: -4 |