Atkin-Lehner |
2+ 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050u |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-9724632187500 = -1 · 22 · 310 · 57 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5099,53948] |
[a1,a2,a3,a4,a6] |
Generators |
[82:971:1] [1:242:1] |
Generators of the group modulo torsion |
j |
938601300671/622376460 |
j-invariant |
L |
8.925500930953 |
L(r)(E,1)/r! |
Ω |
0.45571438916078 |
Real period |
R |
0.24482167842713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810o1 |
Quadratic twists by: 5 |