Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215t |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-323154307840455 = -1 · 36 · 5 · 79 · 133 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17027,136648] |
[a1,a2,a3,a4,a6] |
Generators |
[-811308:24255914:132651] |
Generators of the group modulo torsion |
j |
2111932187/1250235 |
j-invariant |
L |
7.1396753257141 |
L(r)(E,1)/r! |
Ω |
0.33054407209154 |
Real period |
R |
10.799884117677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745x1 124215bq1 |
Quadratic twists by: -7 13 |