Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958p |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-37303898112 = -1 · 212 · 36 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 3 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1353,20727] |
[a1,a2,a3,a4,a6] |
Generators |
[7:104:1] |
Generators of the group modulo torsion |
j |
-285045228625/38817792 |
j-invariant |
L |
8.6287720225163 |
L(r)(E,1)/r! |
Ω |
1.1184589392235 |
Real period |
R |
0.32145316652231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958v1 |
Quadratic twists by: -31 |