Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480l |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-2430042870838741760 = -1 · 28 · 5 · 79 · 196 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 5 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5738161,5293072541] |
[a1,a2,a3,a4,a6] |
Generators |
[35436:123823:27] |
Generators of the group modulo torsion |
j |
-2022644931914752/235229405 |
j-invariant |
L |
4.3847311032534 |
L(r)(E,1)/r! |
Ω |
0.24788608882106 |
Real period |
R |
1.4740410012589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37240p1 74480r1 |
Quadratic twists by: -4 -7 |