Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410c |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1711304116220160 = 28 · 34 · 5 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-64858,-6065132] |
[a1,a2,a3,a4,a6] |
Generators |
[436:6766:1] |
Generators of the group modulo torsion |
j |
12796484219/725760 |
j-invariant |
L |
2.3305517568856 |
L(r)(E,1)/r! |
Ω |
0.30022149840328 |
Real period |
R |
3.881387191258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230ef1 127050hr1 25410bq1 |
Quadratic twists by: -3 5 -11 |