Atkin-Lehner |
2+ 3+ 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050q |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-270297428843520000 = -1 · 213 · 32 · 54 · 134 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,154875,-8615475] |
[a1,a2,a3,a4,a6] |
Generators |
[531:14691:1] |
Generators of the group modulo torsion |
j |
657329724305981975/432475886149632 |
j-invariant |
L |
5.2301536387772 |
L(r)(E,1)/r! |
Ω |
0.17654828757678 |
Real period |
R |
0.82290260695086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050cb1 |
Quadratic twists by: 5 |