Atkin-Lehner |
2+ 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954h |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-973744066512 = -1 · 24 · 33 · 78 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -3 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2524,-69152] |
[a1,a2,a3,a4,a6] |
Generators |
[84:524:1] |
Generators of the group modulo torsion |
j |
-15124197817/8276688 |
j-invariant |
L |
5.3300231026054 |
L(r)(E,1)/r! |
Ω |
0.32838951286958 |
Real period |
R |
4.0576988961863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422i1 |
Quadratic twists by: -7 |