Atkin-Lehner |
2- 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300k |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-877791064218750000 = -1 · 24 · 312 · 510 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131033,-48589938] |
[a1,a2,a3,a4,a6] |
j |
-995242860396544/3511164256875 |
j-invariant |
L |
0.460602015447 |
L(r)(E,1)/r! |
Ω |
0.11515050062473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460j1 |
Quadratic twists by: 5 |