Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080ba |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-3493567613868750000 = -1 · 24 · 38 · 58 · 115 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,353778,39079289] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-12375:1] |
Generators of the group modulo torsion |
j |
419825359385286656/299517113671875 |
j-invariant |
L |
7.5956410756758 |
L(r)(E,1)/r! |
Ω |
0.15881293066448 |
Real period |
R |
0.29892249029176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360r1 |
Quadratic twists by: -3 |