Atkin-Lehner |
3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705h |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-23847075 = -1 · 33 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 3 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12056,-505513] |
[a1,a2,a3,a4,a6] |
Generators |
[2968252:12372459:21952] |
Generators of the group modulo torsion |
j |
-565034977128448/69525 |
j-invariant |
L |
10.159569340911 |
L(r)(E,1)/r! |
Ω |
0.22780630720872 |
Real period |
R |
11.149350366846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75705z1 |
Quadratic twists by: -7 |