Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800bi |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
73045280000 = 28 · 54 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -7 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3033,61963] |
[a1,a2,a3,a4,a6] |
Generators |
[93:770:1] [-57:230:1] |
Generators of the group modulo torsion |
j |
56243200/1331 |
j-invariant |
L |
7.8506749005241 |
L(r)(E,1)/r! |
Ω |
1.0903034147049 |
Real period |
R |
0.10000624591144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800cc1 107800bg1 |
Quadratic twists by: 5 -7 |