Atkin-Lehner |
5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7595g |
Isogeny class |
Conductor |
7595 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-4467720775 = -1 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-540,-6028] |
[a1,a2,a3,a4,a6] |
Generators |
[2232:104356:1] |
Generators of the group modulo torsion |
j |
-148035889/37975 |
j-invariant |
L |
3.9024633204681 |
L(r)(E,1)/r! |
Ω |
0.48860889562178 |
Real period |
R |
3.9934427672484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520db1 68355k1 37975b1 1085c1 |
Quadratic twists by: -4 -3 5 -7 |