Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830d |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-280229301354240 = -1 · 28 · 33 · 5 · 76 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16050,-194220] |
[a1,a2,a3,a4,a6] |
Generators |
[6081:471234:1] |
Generators of the group modulo torsion |
j |
16934400922773573/10378863013120 |
j-invariant |
L |
4.1640056848839 |
L(r)(E,1)/r! |
Ω |
0.31779098601128 |
Real period |
R |
6.5514848881462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
25830y3 129150cc1 |
Quadratic twists by: -3 5 |