Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400r |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-479773125000000 = -1 · 26 · 310 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122708,-16537338] |
[a1,a2,a3,a4,a6] |
Generators |
[1386439015:98256630096:274625] |
Generators of the group modulo torsion |
j |
-326938350400/767637 |
j-invariant |
L |
3.6135840581639 |
L(r)(E,1)/r! |
Ω |
0.12752342051108 |
Real period |
R |
14.168315292859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400cn1 31200cf1 62400ds1 |
Quadratic twists by: -4 8 5 |