Atkin-Lehner |
2+ 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450m |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
-7304950636699218750 = -1 · 2 · 311 · 510 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,215300,-124132250] |
[a1,a2,a3,a4,a6] |
j |
113019298259375/748026945198 |
j-invariant |
L |
0.70433034423016 |
L(r)(E,1)/r! |
Ω |
0.11738839097138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450ct1 |
Quadratic twists by: 5 |