Atkin-Lehner |
3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225v |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
154080 |
Modular degree for the optimal curve |
Δ |
-16936126875 = -1 · 32 · 54 · 29 · 473 |
Discriminant |
Eigenvalues |
-2 3- 5- -5 -1 -6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-58,6244] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:70:1] |
Generators of the group modulo torsion |
j |
-35123200/27097803 |
j-invariant |
L |
1.9465329466469 |
L(r)(E,1)/r! |
Ω |
0.99706099875151 |
Real period |
R |
0.32537844274348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102225f1 |
Quadratic twists by: 5 |