Atkin-Lehner |
2- 3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482ci |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-225944700072 = -1 · 23 · 3 · 73 · 134 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,132,22917] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-177:1] |
Generators of the group modulo torsion |
j |
741217625/658730904 |
j-invariant |
L |
7.9129627063918 |
L(r)(E,1)/r! |
Ω |
0.77630215389635 |
Real period |
R |
0.84942899015542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482cl2 |
Quadratic twists by: -7 |