Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098v |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
5564832 = 25 · 3 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 1 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49,47] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:16:1] |
Generators of the group modulo torsion |
j |
77086633/32928 |
j-invariant |
L |
4.8009078468942 |
L(r)(E,1)/r! |
Ω |
2.1725367935562 |
Real period |
R |
0.14732110594195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784cp1 21294bg1 49686dc1 7098a1 |
Quadratic twists by: -4 -3 -7 13 |