Atkin-Lehner |
2- 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674bs |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-6357360747781279656 = -1 · 23 · 321 · 7 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-480029,-176240563] |
[a1,a2,a3,a4,a6] |
Generators |
[106905:719306:125] |
Generators of the group modulo torsion |
j |
-16780224282184701577/8720659461977064 |
j-invariant |
L |
7.3218843457468 |
L(r)(E,1)/r! |
Ω |
0.088523074738558 |
Real period |
R |
6.8926325875132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33558k1 |
Quadratic twists by: -3 |