Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710cc |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
10281600 |
Modular degree for the optimal curve |
Δ |
-1671503094982656000 = -1 · 214 · 32 · 53 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77651705,-263407398073] |
[a1,a2,a3,a4,a6] |
j |
-7423100311456129681/239616000 |
j-invariant |
L |
2.1360481152086 |
L(r)(E,1)/r! |
Ω |
0.025429147982676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710cl1 |
Quadratic twists by: 17 |