Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300l |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
28898471250000 = 24 · 37 · 57 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1002633,-386087238] |
[a1,a2,a3,a4,a6] |
j |
445871918006910976/115593885 |
j-invariant |
L |
1.8104863492862 |
L(r)(E,1)/r! |
Ω |
0.150873868717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460o1 |
Quadratic twists by: 5 |