Atkin-Lehner |
2+ 3+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674a |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
52412370192 = 24 · 33 · 74 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3354,-73116] |
[a1,a2,a3,a4,a6] |
Generators |
[111:900:1] [-33:45:1] |
Generators of the group modulo torsion |
j |
154568843091963/1941198896 |
j-invariant |
L |
4.8858719220949 |
L(r)(E,1)/r! |
Ω |
0.62781632841142 |
Real period |
R |
1.2970544889718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37674l1 |
Quadratic twists by: -3 |