Atkin-Lehner |
2+ 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306i |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
170928431712 = 25 · 312 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -3 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11476,-477584] |
[a1,a2,a3,a4,a6] |
Generators |
[-7795:6449:125] |
Generators of the group modulo torsion |
j |
316008517350073/323116128 |
j-invariant |
L |
2.8458758678185 |
L(r)(E,1)/r! |
Ω |
0.46128958938674 |
Real period |
R |
3.0846955286833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306d1 |
Quadratic twists by: -23 |