Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
7952f |
Isogeny class |
Conductor |
7952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1813053964288 = -1 · 220 · 73 · 712 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -4 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5944,185940] |
[a1,a2,a3,a4,a6] |
Generators |
[38:128:1] |
Generators of the group modulo torsion |
j |
-5671177348537/442640128 |
j-invariant |
L |
1.9086469143458 |
L(r)(E,1)/r! |
Ω |
0.81958779512312 |
Real period |
R |
1.1643944222346 |
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 |
994c1 31808s1 71568bk1 55664ba1 |
Quadratic twists by: -4 8 -3 -7 |