Atkin-Lehner |
2+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850f |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7539840 |
Modular degree for the optimal curve |
Δ |
-1.1529453013755E+21 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 2 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12139942,-16359422284] |
[a1,a2,a3,a4,a6] |
Generators |
[2543636710113:517569959322781:60698457] |
Generators of the group modulo torsion |
j |
-12663493791646606286769/73788499288033280 |
j-invariant |
L |
8.8988262630014 |
L(r)(E,1)/r! |
Ω |
0.040426312306004 |
Real period |
R |
15.723186486709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15170k1 |
Quadratic twists by: 5 |