Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350bp |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
414828097112250 = 2 · 314 · 53 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26316,1316728] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:696:1] [-1226:11211:8] |
Generators of the group modulo torsion |
j |
16123139401454189/3318624776898 |
j-invariant |
L |
9.1238963427841 |
L(r)(E,1)/r! |
Ω |
0.50293733959657 |
Real period |
R |
0.64790067301697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350ck2 |
Quadratic twists by: 5 |