Atkin-Lehner |
3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705z |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-2805584526675 = -1 · 33 · 52 · 79 · 103 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 3 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-590760,174572381] |
[a1,a2,a3,a4,a6] |
j |
-565034977128448/69525 |
j-invariant |
L |
7.5047212177791 |
L(r)(E,1)/r! |
Ω |
0.62539343593855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75705h1 |
Quadratic twists by: -7 |