Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37224h |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-66393663849216 = -1 · 28 · 36 · 115 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10116,18036] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-1034:1] |
Generators of the group modulo torsion |
j |
613454957568/355761659 |
j-invariant |
L |
3.9673723412461 |
L(r)(E,1)/r! |
Ω |
0.3719374544154 |
Real period |
R |
0.26666932128966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74448i1 4136f1 |
Quadratic twists by: -4 -3 |