Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23595d |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
379334834789625 = 32 · 53 · 1110 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-539772532,-4827080261549] |
[a1,a2,a3,a4,a6] |
Generators |
[-28438220032621629194489087418399181365168:14219729868542022300240095024659281449029:2120040438203752426752738088539344896] |
Generators of the group modulo torsion |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
5.1389732645001 |
L(r)(E,1)/r! |
Ω |
0.031321810627883 |
Real period |
R |
54.690040384887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70785n1 117975bz1 2145e1 |
Quadratic twists by: -3 5 -11 |