Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bw |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1811021678070528 = 28 · 3 · 76 · 114 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-274763900,-1753045923142] |
[a1,a2,a3,a4,a6] |
Generators |
[99545294844336:-11793988635819926:3731087151] |
Generators of the group modulo torsion |
j |
19499096390516434897995817/15393430272 |
j-invariant |
L |
6.9375564694694 |
L(r)(E,1)/r! |
Ω |
0.037081700068316 |
Real period |
R |
23.386051932979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999437599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442c3 |
Quadratic twists by: -7 |