Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464y |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3852288 |
Modular degree for the optimal curve |
Δ |
-1.9068064262681E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2840677,-1957967480] |
[a1,a2,a3,a4,a6] |
Generators |
[1141222128956678900491052:-70516179936968864371622055:251384390148490280128] |
Generators of the group modulo torsion |
j |
-158441683103908765892608/11917540164175748739 |
j-invariant |
L |
6.2346633165149 |
L(r)(E,1)/r! |
Ω |
0.057895026519138 |
Real period |
R |
35.896366684709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25116g1 |
Quadratic twists by: -4 |