Atkin-Lehner |
2+ 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650b |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-778734337500000 = -1 · 25 · 33 · 58 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,933,1342341] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-1167:1] |
Generators of the group modulo torsion |
j |
212776173/1845888800 |
j-invariant |
L |
4.106218299506 |
L(r)(E,1)/r! |
Ω |
0.39735159976589 |
Real period |
R |
1.291745870574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ci2 19530bj2 |
Quadratic twists by: -3 5 |