Atkin-Lehner |
2+ 3+ 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350l |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-27379687500 = -1 · 22 · 33 · 58 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,550,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[10:20:1] |
Generators of the group modulo torsion |
j |
46969655/70092 |
j-invariant |
L |
3.3420796598262 |
L(r)(E,1)/r! |
Ω |
0.62758782220733 |
Real period |
R |
0.88754634149091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350cl1 |
Quadratic twists by: 5 |