Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830c |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
72378081562500 = 22 · 39 · 57 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-308355,65981825] |
[a1,a2,a3,a4,a6] |
Generators |
[268:1459:1] |
Generators of the group modulo torsion |
j |
164735120039575203/3677187500 |
j-invariant |
L |
3.4116170349537 |
L(r)(E,1)/r! |
Ω |
0.56807579403844 |
Real period |
R |
3.0027833176102 |
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 |
25830w1 129150ck1 |
Quadratic twists by: -3 5 |