Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694t |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-3.1106437260898E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11- 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1277637,641691549] |
[a1,a2,a3,a4,a6] |
Generators |
[1227:63093:1] [-346:12757:1] |
Generators of the group modulo torsion |
j |
4558438520831/6147814464 |
j-invariant |
L |
7.165599709182 |
L(r)(E,1)/r! |
Ω |
0.11607593572888 |
Real period |
R |
2.5721666839677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154ba1 122694ce1 |
Quadratic twists by: -11 13 |