Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480cw |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-95334400 = -1 · 212 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4405,111075] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1:1] |
Generators of the group modulo torsion |
j |
-47109013504/475 |
j-invariant |
L |
5.2510416002522 |
L(r)(E,1)/r! |
Ω |
1.717258484377 |
Real period |
R |
1.5289025057665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655p1 74480v1 |
Quadratic twists by: -4 -7 |