Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520x |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-119181233921442560 = -1 · 28 · 5 · 713 · 312 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 3 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1100932,444929996] |
[a1,a2,a3,a4,a6] |
Generators |
[11427864:138069505:13824] |
Generators of the group modulo torsion |
j |
-4899784645684224/3957124115 |
j-invariant |
L |
14.70374978283 |
L(r)(E,1)/r! |
Ω |
0.32908610048464 |
Real period |
R |
5.585069403587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60760bb1 17360l1 |
Quadratic twists by: -4 -7 |