Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
74200i |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-116719568000000 = -1 · 210 · 56 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 2 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63475,-6177250] |
[a1,a2,a3,a4,a6] |
Generators |
[14565:291500:27] |
Generators of the group modulo torsion |
j |
-1767713416452/7294973 |
j-invariant |
L |
12.379337608014 |
L(r)(E,1)/r! |
Ω |
0.15035283694763 |
Real period |
R |
3.4306351918752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2968d1 |
Quadratic twists by: 5 |