Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7502c |
Isogeny class |
Conductor |
7502 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-561964957300648 = -1 · 23 · 119 · 313 |
Discriminant |
Eigenvalues |
2+ -2 0 1 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20204,-279270] |
[a1,a2,a3,a4,a6] |
Generators |
[296:5478:1] |
Generators of the group modulo torsion |
j |
514885403375/317214568 |
j-invariant |
L |
2.2393366210197 |
L(r)(E,1)/r! |
Ω |
0.29947744382991 |
Real period |
R |
1.2462466802072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60016i2 67518bw2 682a2 |
Quadratic twists by: -4 -3 -11 |