Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705q |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
3834883349898890625 = 310 · 56 · 79 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3473611,2489767160] |
[a1,a2,a3,a4,a6] |
Generators |
[935:7250:1] |
Generators of the group modulo torsion |
j |
114864256033014727/95031984375 |
j-invariant |
L |
4.2197330880135 |
L(r)(E,1)/r! |
Ω |
0.24649690258299 |
Real period |
R |
1.711880775683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705m1 |
Quadratic twists by: -7 |