Atkin-Lehner |
2- 5- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
107300o |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
20109747530000 = 24 · 54 · 29 · 375 |
Discriminant |
Eigenvalues |
2- -2 5- 1 4 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78858,8494513] |
[a1,a2,a3,a4,a6] |
Generators |
[153:185:1] [-106:3959:1] |
Generators of the group modulo torsion |
j |
5423335781420800/2010974753 |
j-invariant |
L |
8.8712064623636 |
L(r)(E,1)/r! |
Ω |
0.67141972295416 |
Real period |
R |
0.2936135395463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107300b1 |
Quadratic twists by: 5 |